AP Physics 1: Algebra-Based FRQ Room
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AP Physics 1: Algebra-Based Free Response Questions
The best way to get better at FRQs is practice. Browse through dozens of practice AP Physics 1: Algebra-Based FRQs to get ready for the big day.
Acceleration and Deceleration Phases in Vehicle Motion
A car accelerates uniformly from rest to 40 m/s in 8 s and then decelerates uniformly to 0 m/s in 4
Acceleration Data Interpretation from Experimental Graph
Analyze the Velocity vs. Time graph provided to determine the object's acceleration and the displace
Acceleration from Motion Sensor Data Error
A student uses a digital motion sensor to record the velocity of a cart undergoing uniform accelerat
Analyzing Changing Vectors: Two-Dimensional Motion
A drone takes off and follows a multi-leg flight path in a horizontal plane. The flight path consist
Analyzing Uniformly Accelerated Motion Using the BIG FIVE Equations
A motorcyclist accelerates uniformly from rest. The following data were recorded during the accelera
Angled Motion and Range Calculation
A projectile is launched from a horizontal platform with an initial speed of $$25\ m/s$$ at an angle
Angular Sensor Misalignment Error
A student sets up a light sensor to measure the displacement of a robot moving along a hallway by de
Average Speed vs. Average Velocity on a Circular Track
This question investigates the difference between average speed and average velocity. Consider a car
Baseball Projectile Motion
A baseball is hit off a bench, following a projectile trajectory under ideal conditions with no air
Calculating Acceleration with Changing Motion
A particle moves along a straight line with its velocity given by the function $$v(t) = 3 * t - 0.5
Car Acceleration Analysis
A car starting from rest accelerates uniformly along a straight road. Sensors record the car’s motio
Car Acceleration and Deceleration Analysis
A car accelerates uniformly from rest with an acceleration of $$3\ m/s^2$$ for 5 s, then travels at
Car Deceleration: Acceleration and Deceleration Phases
A car undergoes two distinct phases of motion as recorded in the table below.
Centripetal Motion Error
A student designs an experiment to measure the centripetal acceleration of an object moving in a cir
Circular Motion: Distance and Displacement
A ball attached to a string is swung in a complete circle with a radius of 2 m, returning to its sta
Comparing Scalar and Vector Quantities
An experiment records both the scalar speed and the vector velocity of an object during several tria
Conceptual Comparison: Distance and Displacement
Consider a scenario where a hiker travels along a winding path from point A to point B.
Critical Analysis: Acceleration Measurements under Free Fall
In a free fall experiment, objects are dropped from a known height and their fall times are recorded
Critical Evaluation: Misinterpretation of Speed vs. Velocity
A popular online article claims that because speed and velocity share the same units (m/s), they con
Deriving and Comparing Kinematic Equations
An object’s position as a function of time is given by $$x(t) = 5*t^2 - 3*t + 2$$. Answer the follow
Deriving the Relationships Among the BIG FIVE Equations
Derive one of the kinematic equations used in uniformly accelerated motion. Answer the following ste
Determining Displacement from Variable Velocity Data
A series of measurements of an object's velocity at different times is given in the table below. Usi
Distance and Displacement Analysis Experiment
In this experiment, a small robotic car is programmed to follow a predetermined, winding path on a f
Distance vs. Displacement: Analyzing a Runner's Path
A runner completes a full lap around an elliptical track, starting and finishing at the same point.
Evaluating Air Resistance in Projectile Motion
An experiment measured projectile ranges at various launch angles. Compare the theoretical and measu
Experimental Error and Uncertainty in Motion Measurements
In a lab experiment to study the motion of objects, various measurements (such as distance and time)
Free Fall and Gravitational Acceleration
A researcher conducts a free-fall experiment by dropping a ball from different heights and recording
Free Fall and Gravity
An object is dropped from rest from a height of $$45$$ m. Assuming the acceleration due to gravity i
Free Fall Experiment Analysis
In a free fall experiment, an object is dropped from rest and the distance fallen is recorded at var
Free Fall Experiment Analysis
In a free fall experiment, an object is dropped from rest. Its fall is recorded in the table below.
Free Fall Motion Lab
In a free fall experiment, a ball is dropped from rest. Use the data provided to analyze the motion.
Free Fall: Motion Under Gravity
A researcher drops a ball from a 45 m tall building. Neglecting air resistance, answer the following
Free-Fall from a Building
A ball is dropped from the top of a 45-meter-tall building (assume negligible air resistance). Answe
Friction Effects on Uniform Motion: Velocity Decay Study
A report claims that an object moving horizontally experiences zero net force and maintains constant
Frictionless Track Motion Analysis Experiment
A cart is launched on a so-called frictionless track and its motion is recorded using sensors. The e
Graphical Interpretation: Projectile Motion Trajectory
A graph of a projectile’s height vs. time is provided. Answer the following parts.
Graphical Interpretation: Relationship between Position, Velocity, and Acceleration
An experiment provides three graphs of an object’s motion: • Graph A: Position vs. Time • Graph B:
Horizontal Launch from Elevated Platform
A researcher studies a projectile launched horizontally from an elevated platform. The platform is 2
Identifying Scalar and Vector Quantities
Answer the following questions regarding scalar and vector quantities:
Inclined Plane Experiment: Impact of Angle on Acceleration
Design an experiment using an inclined plane to measure how the angle of the incline affects the acc
Instantaneous vs. Average Speed
An object’s position as a function of time is given by $$x(t) = 2 * t^3 - 5 * t^2 + t + 10$$, with x
Interpreting Motion Graphs: Position, Velocity, and Acceleration
Examine the provided position vs time and velocity vs time graphs for an object in motion. Answer th
Interpreting Negative Acceleration and Direction Change
An object's velocity is recorded over time, and the data indicate that the velocity changes sign dur
Investigating Circular Motion: Displacement vs. Distance
An object moves along a circular track. The experiment is designed to measure both the total distanc
Manual Timing Reaction Error
A student measures the time of flight of a projectile using a manual stopwatch. The procedure requir
Motion Analysis in a Lab Environment: Experimental Design
Design an experiment to measure the displacement and velocity of an object moving along a straight t
Motion on an Inclined Plane
A 2 kg block slides down a smooth, frictionless inclined plane making a 30° angle with the horizonta
Motion with Reaction Time Delay
A sprinter has a reaction delay of 0.2 s. After the delay, he accelerates uniformly from rest at $$a
Navigational Vector Addition
A boat is attempting to cross a river. The boat’s engine provides a velocity of 8 m/s due north rela
Position vs Time Graph Interpretation
A composite position vs. time graph shows various segments where an object accelerates, decelerates,
Position vs. Time Graph Analysis
A position vs. time graph of an object’s motion displays two distinct segments: one linear and one c
Position, Velocity, and Acceleration Graph Analysis Experiment
In a physics lab, a motion sensor records the position versus time of a moving object. The resulting
Projectile Launch Analysis
A projectile is launched with an initial speed of $$20 \text{ m/s}$$ at an angle of $$30^\circ$$ abo
Projectile Motion: Basketball Shot Analysis
A researcher investigates the trajectory of a basketball shot. The ball is launched with an initial
Projectile Motion: Launched Ball
A ball is launched from ground level at an angle of $$30^\circ$$ with an initial speed of $$20\,m/s$
Projectile Motion: Maximum Height Determination
A ball is launched at different angles while keeping the initial speed constant. The maximum heights
Projectile Range and Launch Angle Investigation
A researcher conducts an experiment to study the effect of launch angle on the horizontal range of a
Resolving Force Components on an Inclined Plane
A 10-kg block rests on a 30° inclined plane. Analyze the gravitational forces by resolving the weigh
River Navigation: Vector Addition and Resultant Displacement
A boat is attempting to cross a river. Its speed relative to the water is 5 m/s heading due north, w
Scalar vs. Vector Quantities
Discuss the difference between scalar and vector quantities and classify some common physical quanti
Scalar vs. Vector: Lab Report Analysis
A student lab report claims that a measured value of 50 m represents both the distance traveled and
Speed vs Velocity Experimental Design
A student aims to compare speed and velocity by monitoring a skateboarder's motion along a rectangul
Speed vs. Velocity Analysis from Motion Data
An object moves along a curving path with a varying speed. Answer the following parts:
Surface Friction Experiment: Effects on Motion
Students design an experiment to study how surface friction affects the motion of a sliding block al
Uniformly Accelerated Motion and BIG FIVE Equations Lab
A lab experiment involves releasing a cart from rest down a ramp to study uniformly accelerated moti
Uniformly Accelerated Motion Experiment Design
A physics lab is set up with a rolling cart on a friction-minimized track to study uniformly acceler
Vector Addition and Resultant Displacement in a Scavenger Hunt
A hiker participates in a scavenger hunt and follows a path composed of multiple directional segment
Vector Addition in Two Dimensions
An object moves in a plane with two successive displacement vectors: $$\vec{A} = (3,4) \text{ m}$$ a
Vector and Scalar Quantities Comparison
This question addresses identifying and differentiating between vector and scalar quantities in phys
Vector Components: Ballistic Launch Analysis
A researcher observes a ball being thrown from the ground with an initial speed $$v_0 = 20$$ m/s at
Velocity-Time Graph Analysis
A vehicle's motion is represented by a velocity versus time graph. The graph shows that for the firs
Verification of the Equation $$v = u + a*t$$
Design an experiment using a motion sensor on an inclined plane to verify the linear relationship de
Vibrational Motion and Simple Harmonic Motion (SHM) Experiment
A mass-spring system is used to investigate simple harmonic motion. The period of oscillation is rec
Wind Effects on Projectile Trajectories: A Comparative Analysis
An experiment investigated the effect of wind on projectile motion. A graph compares the theoretical
Centripetal Force and Circular Motion Experiments
A researcher conducts a turntable experiment to measure the centripetal force acting on an object in
Centripetal Force Measurement Using a Rotating Bucket
In this experiment, students fill a bucket with water and swing it in a circular path to measure the
Comparing Gravitational and Inertial Mass
In a laboratory experiment, a student measures the gravitational force on an unknown mass using a sp
Comparing Gravitational and Inertial Mass
This question addresses the relationship and differences between gravitational mass and inertial mas
Dynamic Analysis in Two-Dimensional Forces
An object is subjected to two forces, $$F_1$$ and $$F_2$$, acting at an angle to each other as shown
Dynamic Interactions of Connected Masses
Two masses, $$m_1$$ and $$m_2$$, are connected by a light, inextensible rope over a frictionless pul
Dynamics FRQ #5: Projectile Motion with Air Resistance
A ball of mass 2.0 kg is projected horizontally from a 45 m high building with an initial speed of 1
Dynamics FRQ #16: Terminal Velocity with Air Resistance
A skydiver of mass 70 kg experiences an air resistance force proportional to velocity given by $$F_{
Dynamics FRQ #17: Two-Block Spring System
Two blocks of masses 2.0 kg and 3.0 kg are connected by a light spring with a spring constant of 200
Dynamics FRQ #20: Tension and Acceleration in a Complex Pulley System
Consider a system where two masses, $$m_1 = 4.0\,kg$$ and $$m_2 = 6.0\,kg$$, are connected by a rope
Dynamics of a Car Stopping
A researcher investigates the dynamics of a car coming to a stop. A velocity vs. time graph is provi
Dynamics of a Car with Air Resistance
A car of mass 1000 kg accelerates from rest under a constant engine force of 3000 N. In addition, it
Dynamics of a Cart: Testing Newton's Second Law
You are tasked with designing an experiment using a dynamics cart on a nearly frictionless track to
Dynamics of a Rotating Rod Experiment
Students investigate the angular acceleration of a rod pivoted at one end by applying a force at its
Dynamics of Projectile Motion
Analyze the forces and motion involved in projectile motion and design an experiment to determine ke
Dynamics Problem 1: Inertia and Motion on a Frictionless Surface
A block of mass $$m = 5\ kg$$ is placed on a frictionless horizontal surface. Initially, the block i
Effect of Friction on a Moving Object on an Inclined Plane
An object slides down an inclined plane where friction plays a non-negligible role. A researcher inv
Energy and Dynamics: Understanding Work and Force
A researcher studies the work done on an object as it is pushed up a ramp. The investigation examine
Evaluating Newton's Third Law in Action-Reaction Pairs
A researcher investigates the force interactions between a person and a boat when the person jumps o
Force Analysis in a Multi-Body System
Three objects are connected with strings and pulleys to form a multi-body system. The acceleration o
Forces in a Two-Box Pulley System
Investigate the forces acting in a two-box pulley system and derive the acceleration of the system.
Friction on a Horizontal Surface
A 10 kg block is pushed along a horizontal surface. An applied force of $$30\ \text{N}$$ acts on the
FRQ3: Apparant Equal Force Pairs in Collisions
An experiment records the forces during collisions between two objects. Analyze the table of force m
FRQ5: Dynamics on an Inclined Plane
A cart is allowed to slide down a nearly frictionless inclined plane at varying angles. Study the da
FRQ9: Collision Impulse Analysis
In a collision experiment, the duration of impact and the average force experienced by the objects w
FRQ16: Projectile Motion with Drag Effects
An investigation examines projectile motion for two different objects, A and B, where differences in
FRQ19: Elevator Dynamics: Tension and Acceleration
An experiment on an elevator involves measuring the cable tension for different elevator masses and
Gravitational Mass vs. Inertial Mass Experiment
Students designed an experiment to compare gravitational mass and inertial mass using separate proce
Impact of Air Resistance on a Projectile
A ball is launched horizontally from the top of a cliff with height $$h = 45 * (m)$$. Two experiment
Investigating Circular Motion and Centripetal Force
A mass is attached to a string and swung in a circle on a horizontal plane. The researcher investiga
Investigating Friction on an Inclined Plane
A researcher is studying the dynamics of a block sliding down an inclined plane to investigate the e
Investigating Motion on an Inclined Plane
A student studies a frictionless object's acceleration on an inclined plane by measuring acceleratio
Investigation of Normal Force Variation on Curved Surfaces
Students use a dynamics cart to travel along a curved track to examine how the normal force changes
Measuring Gravitational vs. Inertial Mass Experiment
Design an experiment to demonstrate the equivalence of gravitational mass and inertial mass.
Motion on an Inclined Plane
A block of mass $$m$$ is placed on a frictional inclined plane with an angle $$\theta$$. Analyze the
Motion Under Variable Friction Conditions
A student studies the effect of different surface textures on the acceleration of a sliding object.
Quantitative Analysis of Tension in a Dual-Pulley System
In a dual-pulley system experiment, it was claimed that the tensions measured in the rope deviate fr
Quantitative Analysis of Tension Variation in a Pulley System
In a two-mass pulley system, a researcher analyzes the forces acting on each mass and the tension in
Rocket Propulsion and Dynamics
A researcher studies the dynamics of a small model rocket during its vertical ascent. The investigat
Rocket Propulsion and Variable Mass
A toy rocket of mass 2 kg produces a constant thrust force of 10 N in space with negligible external
Static vs. Kinetic Friction Experiment
Investigate the differences between static and kinetic friction through definitions, experimental da
Tension Analysis in a Stationary Object
A mass is hanging from a rope attached to a ceiling. Consider the forces acting on the mass when it
Tension Analysis in a Two-Mass Pulley System
In a two-mass pulley system, experimental data shows that the measured acceleration of the masses do
Tension Force Analysis in a Pulley System
A researcher investigates a system of two masses connected by a string over a frictionless pulley, w
Validation of Newton's Laws using Force Sensors
Examine how force sensors and motion detectors can be utilized to validate Newton's Second and Third
Variable Mass Systems: A Sliding Train Problem
A train is moving along a track and picks up additional cars, causing its mass to increase over time
Analysis of Centripetal Force Data
A researcher studies the centripetal force required for an object in uniform circular motion by meas
Analyzing Force Equilibrium in Circular Motion
An experiment measures the tension in a rope used to swing a ball in a circular path at varying spee
Banked Curve Analysis
A car is negotiating a banked curve on a frictionless road. In such a scenario, the normal force and
Banked Curve Dynamics
A car negotiates a banked curve with a 30° incline and a radius of 100 m. Answer the following:
Calculating Centripetal Force in a Rotating Space Station
A rotating space station is designed to simulate Earth-like gravity by providing centripetal acceler
Centripetal Acceleration Investigation
A physics lab is set up to study the uniform circular motion of an object. The goal is to explore ho
Circular Motion with Friction: Multi-Step Analysis
A 0.8 kg mass is attached to a string and swung in a horizontal circle on a table. Now, consider tha
Comparing Orbital Motion with Circular Motion on Earth
A comparative study has compiled data from satellites in orbit and vehicles navigating circular test
Conical Pendulum Analysis
A conical pendulum consists of a small bob of mass m attached to a string of length L, making a cons
Designing a Free-Fall Experiment
A student aims to measure the gravitational acceleration (g) using a free-fall experiment with a mot
Determining Angular Speed from Tangential Speed
A rotating disc has a marked point on its edge, and its tangential speed is measured directly. Use t
Effects of Changing Radius on Uniform Circular Motion
An object is moving in a circular path at a constant speed. (a) Derive the relationship that shows h
Electric Force Interaction in Charged Particle Experiments
In a laboratory, measured forces between charged particles are recorded for various distances. Analy
Electric Force vs. Gravitational Force Comparison
Consider two objects placed 0.5 m apart. One scenario involves two masses, and the other involves tw
Energy Considerations in Vertical Circular Motion
A mass of $$2.0 \;kg$$ is attached to a string of length $$2.0 \;m$$ and is whirled in a vertical ci
Estimating the Required Charges for Equilibrium in a Charged Rotating System
A system consists of two small charged spheres that rotate about a common center. The only force pro
Gravitational and Electric Forces Comparison
In a laboratory experiment, students investigate both gravitational and electric forces between two
Gravitational Force in Planetary Orbits
This problem explores the gravitational force acting on satellites by using Newton's law of universa
Investigating the Relationship between Speed, Radius, and Centripetal Force
In an experiment, a student collects data on the centripetal force acting on an object in circular m
Momentum and Circular Motion
An object in circular motion experiences steady forces that maintain its path, while an external imp
Orbital Period Analysis of a Moon
A small moon orbits a planet in a nearly circular orbit. The gravitational force provides the centri
Orbital Speed Variation in Circular Orbits
A student uses a computer simulation to study the orbital speeds of satellites in circular orbits ar
Pendulum Gravitational Acceleration Measurement
A student sets up an experiment using a simple pendulum to measure the gravitational acceleration, g
Planetary Gravitational Acceleration Comparison
The gravitational acceleration on a planet is given by $$g = \frac{G*M}{r^2}$$. In an observational
Radius Change and its Effect on Centripetal Acceleration
A car travels at a constant speed of 20 m/s around a circular track. Answer the following:
Satellite Orbital Dynamics
A satellite of mass 500 kg orbits Earth in a circular orbit 300 km above the surface. Assume Earth’s
Tetherball Motion Analysis
A tetherball of mass 0.5 kg is swung in a horizontal circle at a constant speed of 6 m/s using a 2 m
Transition from Circular to Projectile Motion
This problem investigates the transition of motion from uniform circular to projectile motion when t
Turntable Rotational Motion Experiment
In a physics lab, a student investigates rotational motion using a turntable. The student measures t
Application of the Work-Energy Theorem in a Lab Experiment
In a laboratory, a researcher studies the motion of a cart on a level, frictional track. A cart of m
Calculating Kinetic Energy Change from Work
A 3 kg cart initially moves at 2 m/s and experiences a net work of 50 J. Answer the following:
Determining Work of Friction in a Sled on Snow
A 15 kg sled is sliding on snow with a coefficient of kinetic friction of 0.1. The sled slows from 4
Effect of Nonconservative Forces on Energy Conservation
A 2 kg block slides down a rough inclined plane, starting from rest, over a distance of 3 m, with fr
Efficiency Analysis of a Mechanical System
A machine requires an input energy of $$5000\;J$$ and produces a work output of $$3200\;J$$. Calcula
Energy Transformation in a Pendulum
A simple pendulum of length 2 m and mass 1 kg is released from an initial angle of $$30°$$ with the
Energy Transitions in a Pendulum System
A researcher investigates energy transitions in a simple pendulum system. A 1 kg pendulum is release
Evaluating the Angle of Force Application on Work Done in Object Dragging
Students conduct an experiment where a sled is dragged across a flat surface using a rope at various
Exploring Mechanical Advantage and Energy Transfer in a Compound Pulley System
An experiment uses a compound pulley system to lift a load. The input force and the distance over wh
Exploring the Relationship Between Force, Work, and Time in Athletic Performance
An athlete pushes a sled with a time-varying force given by $$F(t)= 100 - 5 * t$$ (in N) for t from
Force at an Angle: Lifting a Load
A construction worker lifts a heavy load using a rope that makes an angle of $$30^{\circ}$$ with the
Investigation of Mechanical Energy in a Roller Coaster Model
A model roller coaster is built and data are collected on the speed of the coaster at different poin
Long-Term Energy Usage: Light Bulb Comparison
A 100 W light bulb and a 50 W light bulb are operated for 10 hours each.
Non-constant Force: Pulling a Sled on Snow
A sled of mass $$20\,kg$$ is pulled across a flat, snowy surface by a rope that exerts a variable fo
Potential Energy Variation in a Multi-Level Building
An elevator travels in a building that has floors at 0 m (ground), 3 m (first floor), and 18 m (top
Quantitative Analysis of Frictional Work
Examine the provided data which quantifies work done by friction on surfaces of varying roughness. A
Torque, Work, and Mechanical Advantage in Using a Wrench
A mechanic uses a 0.4 m long wrench to loosen a bolt. A force is applied at an angle of 60° relative
Variable Force from a Graph
A force acting on an object varies with displacement as shown in the graph below. Using the graph, d
Work Done at an Angle
A force of 100 N is applied to a crate at an angle of 40° above the horizontal, moving the crate 5 m
Work Done by Friction on an Inclined Plane
A researcher studies the motion of a 4 kg block sliding down a 30° inclined plane with a length of $
Work Done with an Angled Force
A worker applies a force to move a crate along a horizontal surface in two different scenarios. Refe
Work-Energy Theorem in a Kinetic Friction Scenario
A $$2\;kg$$ block slides across a rough surface. It starts with an initial velocity of $$5\;m/s$$ an
Work-Energy Theorem in a Sled Motion
A 15 kg sled starts from rest and is pulled on a horizontal surface so that its speed reaches 8 m/s
Work-Energy Theorem in an Elastic Collision
A 3 kg block moving at $$4 m/s$$ collides elastically with an identical block initially at rest. Aft
2D Momentum Conservation Analysis
In a two-dimensional collision, two objects exhibit the following velocities (in m/s) before and aft
Air Track Momentum Experiment
In an air track experiment, two gliders undergo a collision. Glider 1 (mass $$0.50\,kg$$) has an ini
Assumption of Uniform Mass Distribution in a Pendulum Collision
In this experiment, a pendulum bob is released from a fixed height to collide with a stationary targ
Automotive Crumple Zone Analysis
Engineers are analyzing the performance of crumple zones in automobiles during collisions. A car of
Basic Momentum and Impulse Calculation
A 1500 kg car is moving to the right with a velocity of $$20\,\text{m/s}$$. Answer the following:
Basic Momentum and Impulse Calculation
Consider a 2.5 kg object moving with a velocity of 3.0 m/s eastward. A constant force of 5.0 N is ap
Billiard Ball Elastic Collision
Two billiard balls undergo an elastic collision on a frictionless table. Before the collision, Ball
Biomechanics of a Diver’s Push-Off
A diver with a mass of 60 kg pushes off from a diving board and achieves a launch speed of 3 m/s. Th
Collision and Rebound in a Roller Coaster Car
A 300-kg roller coaster car traveling at $$10 \ m/s$$ collides with a safety bumper and comes to a s
Fragmenting Projectile: Momentum Analysis
A projectile with a mass of $$10\,kg$$ explodes in mid-air into two fragments. Before the explosion,
Impulse and its Graphical Representation
A force versus time graph with both positive and negative force regions is provided. Analyze the gra
Impulse Determination Using Force Integration Techniques
A lab experiment records the force applied on a cart over short time intervals during a collision. T
Impulse-Momentum Theorem in Sports
A baseball is struck by a bat, and the impact force varies over a short time interval. Using the imp
Inelastic Collision Investigation
A researcher observes an inelastic collision in which two vehicles collide and stick together. The e
Misinterpretation of Force-Time Graph in Impulse Determination
In this experiment, students used a force sensor to record data during an object’s collision and plo
Molecular Collision Analysis in Gases
Consider a simplified model of a gas where two identical molecules undergo an elastic head-on collis
Momentum Analysis in Vehicle Collisions
In a car accident reconstruction, two vehicles with masses of 1500 kg and 1200 kg are involved. Afte
Momentum and Energy in a Diver's Jump
A diver with a mass of $$70\,kg$$ jumps off a platform and enters the water at a speed of $$3.0\,m/s
Momentum Conservation in a Collision Experiment
In an experiment, two objects undergo a perfectly inelastic collision. Object A has a mass of 2 kg a
Momentum in a Swimming Competition
A 70-kg swimmer pushes off the pool wall and leaves with a velocity of $$5 \ m/s$$. Analyze the mome
Momentum Transfer in a Baseball Collision
A 0.145 kg baseball is traveling at 40 m/s towards a bat. After being hit, it rebounds in the opposi
Momentum Transfer in an Explosion
A stationary object with mass $$12\,kg$$ explodes into two fragments. One fragment, with a mass of $
Over-Simplified Analysis of Two-Dimensional Collisions
In this experiment conducted on an air table, two pucks undergo a two-dimensional glancing collision
Perfectly Inelastic Collision: System Momentum Analysis
Two vehicles are involved in a head-on collision and lock together after impact. Vehicle A has a mas
Sequential Collisions in a Billiards Setup
On a billiards table, a moving cue ball collides with a stationary ball, which in turn collides with
Solving for Final Momentum in a Multi-Collision System
Consider a system with three objects undergoing sequential collisions. Object A (mass = 2 kg, veloci
Two-Block System Momentum Investigation
A researcher studies a collision between two blocks on a frictionless surface. The blocks collide, a
Two-Dimensional Collision Analysis
A moving pool ball (ball A) of mass $$0.20 \ kg$$ is traveling at $$3 \ m/s$$ at an angle of $$30^\c
Two-Dimensional Collision of Skaters
Two ice skaters participate in an experiment. Skater A (mass $$50\,kg$$) moves at $$2\,m/s$$ at an a
Amplitude Effects on Oscillator Energy
A mass attached to a spring oscillates with amplitude A. The total mechanical energy is given by $$E
Analyzing the Impact of Spring Constant Variation on SHM
A researcher studies how changes in the spring constant k affect the oscillation period and stored e
Comparative Analysis of Restoring Forces in SHM
A researcher compares the restoring forces in a mass-spring system and a simple pendulum. (a) Write
Conservation of Energy Over a SHM Cycle
A block attached to a spring oscillates with constant total mechanical energy. (a) Write expression
Critical Evaluation of an SHM Experiment
Critically evaluate an experiment that claims the period of a mass-spring oscillator is independent
Determination of Phase Constant in SHM
For a system undergoing simple harmonic motion described by $$x = A*\cos(\omega*t + \phi)$$, the pha
Effect of Spring Constant on Oscillatory Motion
In a series of experiments, a mass-spring system is tested using springs with different spring const
Energy Conservation in SHM and Pendulum Systems
Energy conservation is a central concept in oscillatory motion. Answer the following:
Evidence of Damping in Oscillatory Motion
An experiment studying a damped oscillator records the amplitude of oscillation at successive time i
Hooke’s Law Lab Analysis
In a laboratory experiment, a spring is stretched by attaching various weights and the following dat
Impact of Mass Variation on Oscillation Period
Analyze how varying the mass in a mass-spring oscillator affects the period of oscillation.
Impact of Phase Shift in SHM
A mass-spring system is described by the displacement function $$x = A*cos(ω*t+φ)$$. Answer the foll
Misapplication of Hooke's Law in Oscillatory Force Experiment
A student examines the relationship between displacement and force in a spring system. In the experi
Non-Ideal Oscillations: Driven Harmonic Motion
A mass-spring oscillator is subjected to an external periodic force, resulting in driven harmonic mo
Oscillation Period with Varying Spring Constant
An experiment examines a mass-spring oscillator using different springs with varying spring constant
Pendulum Motion Comparison
Pendulums are a common example of systems exhibiting periodic motion. Answer the following:
Pendulum Period Investigation
A pendulum experiment is performed to study the dependence of the period on the pendulum length. A s
Phase Shift Effects on Energy Distribution in SHM
A study of a mass-spring oscillator produced a graph showing the kinetic and potential energies as f
Real-World Applications of SHM
An engineering suspension system can be modeled as a mass-spring-damper system exhibiting simple har
Resonance and Forced Oscillations in a Mass-Spring System
An experiment is conducted in which an external periodic force is applied to a mass-spring system ov
Resonance and Quality Factor in SHM Systems
A driven damped oscillator exhibits resonance at its natural frequency. Answer the following:
Time-Dependent Behavior of SHM with Phase Shift
Consider an oscillator described by $$x(t) = A \cos(\omega*t + \phi)$$. (a) Derive an expression fo
Analyzing Torque and the Right-Hand Rule
A force is applied to a lever arm at a certain angle relative to the position vector from the pivot.
Angular Kinematics Basics
This question examines fundamental concepts in angular kinematics. Use the provided formulas to comp
Angular Momentum Conservation and Collisions
This problem explores conservation of angular momentum during a collision on a rotating platform.
Basic Angular Kinematics: Calculation of Angular Displacement and Velocity
A rotating wheel exhibits the following measurements: arc length s and radius r for two separate tri
Center of Mass in Rotational Systems
A non-uniform bar of length 2 m has its left half weighing 3 kg and its right half weighing 5 kg. (a
Center of Mass in Rotational Systems
Consider a system composed of two point masses attached to a lightweight rod at different distances
Centripetal and Tangential Acceleration in Circular Motion
A particle moving in a circle of radius $$0.8 \;m$$ has its angular velocity increase uniformly from
Conservation of Angular Momentum Experiment Evaluation
A student examines the rotation of a system with no external torques and claims that angular momentu
Coupled Rotational Systems Analysis
A system consists of two disks connected by a frictionless axle. Disk X has mass $$4 \text{ kg}$$ an
Design of a High-Speed Centrifuge
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Note Tips from Former AP Students
- Of course, make sure to run through College Board's past FRQ questions!
- Once you’re done with those go through all the questions in the AP Physics 1: Algebra-BasedFree Response Room. You can answer the question and have it grade you against the rubric so you know exactly where to improve.
- Reddit it also a great place to find AP free response questions that other students may have access to.