AP® practice test

Free AP® Physics C: Mechanics Practice Test (2026)

This is a set of 25 original practice questions that follow the official AP® Physics C: Mechanics course outline and its unit weights for the multiple-choice section, each with a short explanation. Some questions need calculus, and where a number is needed you can use g = 10 m/s².

  • 25 questions
  • 7 topics from the official outline
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25 questions

Question 1 of 25A particle’s position is x(t) = t³ − 6t² + 9t, with x in meters and t in seconds. At what times is the particle momentarily at rest?
Question 2 of 25Blocks of 3.0 kg and 5.0 kg hang on either side of a light string over an ideal, frictionless pulley. What is the magnitude of their acceleration? (Use g = 10 m/s².)
Question 3 of 25A force F(x) = 3x² newtons acts along the x-axis on an object that moves from x = 0 to x = 2.0 m. How much work does the force do?
Question 4 of 25A solid cylinder rolls without slipping from rest down a ramp, dropping a vertical height of 3.0 m. What is its speed at the bottom? (Use g = 10 m/s²; I = ½MR².)
Question 5 of 25A net force F(t) = 4t newtons acts on a 2.0 kg object that starts at rest. What is the object’s speed at t = 3.0 s?
Question 6 of 25An object moves with position x(t) = 0.20 cos(5t), where x is in meters and t in seconds. What is its maximum speed?
Question 7 of 25A 10 kg box on a level floor is pulled by a 50 N force directed 37° above the horizontal (sin 37° = 0.60, cos 37° = 0.80). The coefficient of kinetic friction is 0.20. What is the box’s acceleration? (Use g = 10 m/s².)
Question 8 of 25A uniform disk of mass M and radius R rotates about an axis perpendicular to its face that passes through a point on its rim. What is its rotational inertia about that axis?
Question 9 of 25A potential energy function is U(x) = 2x³ − 6x, with U in joules and x in meters. At which position is the object in stable equilibrium?
Question 10 of 25A ball is launched from level ground at 20 m/s at 30° above the horizontal. Ignoring air resistance, how far away does it land? (Use g = 10 m/s².)
Question 11 of 25A small object falls from rest through a fluid that exerts a drag force F = −bv, where b is a constant. Which expression gives its speed as a function of time?
Question 12 of 25A disk with rotational inertia 2.0 kg·m² spins freely at 6.0 rad/s. A second disk with rotational inertia 1.0 kg·m², not rotating, is dropped onto it along the same axis, and they stick together. What is their final angular speed?
Question 13 of 25A thin rod of length L lies along the x-axis from x = 0 to x = L, and its mass per unit length increases as λ = kx. Where is its center of mass?
Question 14 of 25A car’s engine delivers 30 kW to keep the car moving at a constant 20 m/s on a level road. What is the total resistive force on the car?
Question 15 of 25A 2.0 kg block hangs from a light string wrapped around a pulley that is a uniform solid disk of mass 4.0 kg, free to turn on a frictionless axle. What is the block’s acceleration when it is released? (Use g = 10 m/s².)
Question 16 of 25A uniform rod of length L swings with small amplitude about a pivot at one end. What is its period?
Question 17 of 25A frictionless curve of radius 120 m is banked so that tan θ = 0.75. At what speed can a car take the curve with no friction needed? (Use g = 10 m/s².)
Question 18 of 25A 1.0 kg ball moving at 6.0 m/s hits a 2.0 kg ball at rest in a one-dimensional, perfectly elastic collision. What is the speed of the 2.0 kg ball afterward?
Question 19 of 25A small ball on a light string of length L is released from rest with the string horizontal. What is the tension in the string when the ball passes through its lowest point?
Question 20 of 25A 2.0 kg particle moves at a constant 3.0 m/s along a straight line that passes 4.0 m from point P. What is the magnitude of its angular momentum about P?
Question 21 of 25A uniform 4.0 m beam with a mass of 20 kg rests on supports at both ends. A 30 kg person stands 1.0 m from the left end. What upward force does the right support exert? (Use g = 10 m/s².)
Question 22 of 25An object in simple harmonic motion is at a displacement of half its amplitude, x = A/2. What fraction of its total mechanical energy is kinetic energy at that moment?
Question 23 of 25An object moves in a straight line with acceleration a(t) = 6t m/s². Its velocity at t = 0 is 2.0 m/s. What is its velocity at t = 2.0 s?
Question 24 of 25A satellite moves in a circular orbit around Earth. If it were moved to a circular orbit with four times the radius, what would happen to its orbital speed?
Question 25 of 25A 2.0 kg block slides from rest down a ramp 5.0 m long that rises 3.0 m (so sin θ = 0.60 and cos θ = 0.80). The coefficient of kinetic friction is 0.25. What is the block’s speed at the bottom? (Use g = 10 m/s².)

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