1. A ball of mass $m$ is falling vertically through the air. The drag force acting on the ball is given by kv^2 where $k$ is constant and $v$ is the speed of the ball. What is the maximum speed reached by the ball?

2. The diagram below shows a tennis ball of mass $m$ striking a wall with an initial velocity, u, and rebounding with velocity $v$. A second, softer ball of the same mass strikes the wall with the same speed but rebounds with a slower rebound speed.

Which of the following statements is correct about the magnitudes of the impulse and change in momentum applied to the second ball compared to the first?

3. A jet aircraft is performing a “loop-the-loop” stunt in which it moves in a vertical circular path as shown in the diagram.

A.			B.
C.			D.

4. A builder uses a block and tackle pulley system to lift a bundle of materials of mass 15 kg to the top of a building of height 6 m in 9 s. What is the power delivered to the bundle?

5. Two cyclists, $A$ and $B$, start riding their bicycles from the same point. Cyclist $A$ moves northwards with a speed of $4v$ relative to the ground, and cyclist $B$ moves westwards with a speed of $3v$ relative to the ground.

The magnitude of the velocity of the Cyclist $A$ relative to the Cyclist $B$ is

6. A student throws a ball with an initial velocity in the horizontal direction. Air resistance is negligible. At t=2.0 s, the ball has travelled a distance $x$ in the horizontal direction and a distance $y$ in the vertical direction.

What are the horizontal and vertical distances covered at t=1.0 s, in terms of $x$ and $y$?

7. A football player bounced the ball off their head as shown while diving sideways

Which of the following gives a Newton’s Third Law pair of forces that applies to this situation?

8. A wheel rotates from rest with uniform angular acceleration. After $16s$, it makes 5 revolutions per second.

What is the angular displacement of the wheel during this time?

9. The engine of a racing car provides a forward thrust of $800N$. The average of the total resistive forces acting on the car is $300N$ and the car covers a distance of $1.0km$ in $10s$.

What is the average output power of the engine?

10. A spring of negligible mass and length of lolo is attached to a fixed point. When the spring is extended by an external force $F$, the length of the spring increases to $l$. The graph shows how the length of the spring varies with the tension in spring. The tension in the spring is equal to $k\Delta l$, where k is a constant and $\Delta l$ is the extension of the spring.

What are the gradient and y-intercept of the graph?

11. The Sankey diagram below shows the energy degraded at different stages of a nuclear power plant.

Which of the following sections corresponds to the stage with the highest energy degradation?

12. A mass is attached to the mirror of a car by a string. As the car accelerates to the left, the string makes an angle with the vertical as shown in the diagram below.

Which of the following shows the correct free-body diagram that represents the forces acting on this mass when it is accelerating?

A.			B.
C.			D.

13. Which of the following units is not a unit of power?

14. A lead ball is dropped from a height of 12$m$ above the ground. Assuming that air resistance is negligible, which of the following expressions best describes the total energy of the ball when it is at a height of 3m above the ground in terms of its kinetic energy (Ek) and gravitational potential energy (Ep)?

15. An electric motor is used to raise a block of mass 18.0 kg vertically to the top of a building at a constant speed of 1.5ms^−1. If the power rating of the motor is 297 W, calculate the efficiency of the motor.

16. A block of wood is placed on a rough inclined surface. Which of the diagrams below correctly represents the forces acting on the block when it is at rest?

A.			B.
C.			D.

17. As a truck is brought to rest, the brakes apply a force of 5.1×10^3 N. Which answer best describes the magnitude of the change in momentum of the truck if the brakes are applied for 3.0 $s$?

18. A ball is projected with an initial speed of 2ms^−1 making an angle of 35o with the horizontal as shown.

Which expression gives the vertical component of the velocity vector?

19. Which of the following is a vector quantity?

20. A cargo container is released from an airplane. A parachute is opened remotely a few seconds later to land it safely. Which graph shows the variation of the vertical acceleration with time $t$ for the cargo container from when it leaves the plane until landing?

A.			B.
C.			D.

21. An object moves in a circular path of radius $2m$ with angular displacement of π/2rad in $5s$.

What is the linear speed of the object?

22. Consider the weight, $W$, of a skydiver falling through air with a drag force Fdrag

If the skydiver experiences terminal velocity, which of the following best represents the skydiver's motion by means of a free body diagram?

A.			B.
C.			D.

23. A ball is projected in an environment where air resistance can be ignored.

Which graph shows the variation of the resultant force $R$ acting on the ball with the height $h$ of the object?

A.			B.
C.			D.

24. Observations of muon decay can be used as evidence of

I. Time dilation
II. Length contraction
III. Absolute simultaneity

25. Two trucks X and Y are pulling a car out of thick mud along a straight path. The only other horizontal force acting on the car is a drag force opposite to the direction of motion. The diagram shows the direction of the force applied by truck $X$ and the direction of motion of the car.

Which of the following vectors shows the direction of the force applied by truck $Y$?