AP Physics C: Mechanics — Practice Test

1. A particle's position is x(t) = 3t² m. Its velocity at t = 2 s is:

2. If v(t) = 4t, the acceleration is:

3. Given a(t) = 6t and v(0) = 0, v(t) is:

4. For x(t) = 5t³, acceleration at t = 1 s is:

5. The area under an a–t graph gives:

6. A particle has v(t) = 2t − 6. It is momentarily at rest at:

7. Given v(t) = 3t², the displacement from t = 0 to 2 s is:

8. For constant acceleration, an x–t graph is:

9. A projectile launched at angle θ, speed v₀: its time to peak is:

10. The instantaneous velocity is the ___ of the position function.

11. If a = constant = 4 m/s² and v(0) = 2, then v(3) is:

12. A car's velocity graph is a straight line with positive slope. The acceleration is:

13. For x(t) = t³ − 3t, the particle changes direction at:

14. Acceleration is the ___ derivative of position.

15. The horizontal range of a projectile is maximized at launch angle:

16. A net force gives a 2 kg object 3 m/s². The force is:

17. Newton's second law in momentum form allows for:

18. A frictionless block on a θ incline accelerates at:

19. A resistive force F = -bv leads to a ___ velocity.

20. The coefficient of static friction is generally ___ kinetic friction.

21. A 5 kg mass hangs from two symmetric ropes at 30° from vertical. Each tension is about (g=10):

22. For a mass on an accelerating (upward a) elevator, apparent weight is:

23. Terminal velocity occurs when:

24. Two masses on an Atwood machine (3 kg, 5 kg). Acceleration is (g=10):

25. Static friction on a stationary object being lightly pushed is:

26. A 10 kg block pulled by 40 N horizontally with μ_k = 0.2 (g=10) accelerates at:

27. The net force on an object in equilibrium is:

28. In the drag equation F = −bv, the units of b are:

29. A box on a truck accelerates with the truck due to:

30. Doubling the net force on a fixed mass:

31. A variable force F(x) = 2x N acts from x = 0 to 3 m. Work done is:

32. Instantaneous power for force F, velocity v is:

33. The work-energy theorem states net work equals change in:

34. Work done by a conservative force around a closed loop is:

35. A spring's PE is U = ½kx². Force from it is: