1. 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?

2. The graph shows the variation with time $t$ of the velocity $v$ of a car traveling along a straight and level road.

What time does it take for the car to travel a distance of 31.5 m from $t$ = 0?

3. 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 6m in 9s. What is the power delivered to the bundle?

4. 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 3 m above the ground in terms of its kinetic energy (Ek) and gravitational potential energy (Ep)?

5. A coin is tossed vertically upwards from a height of 1.5 m. What is the maximum height reached above the ground if the coin was projected with an initial velocity of 3.0 m s−1? (Take g=10 m s−2)

6. A ball rolls horizontally off the edge of the top of a cliff. It hits the ground at a distance 2.0$m$ from the base of the cliff with a vertical speed of 20 m s−1. What is the height of the cliff?

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

8. 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=1.0s, in terms of x and $y$?

9. A stone attached to one end of a rod rotates in a vertical circle at a constant speed. Two positions of the stone at two different instants, X and Y, are shown in the diagram below.

In the table below, which row is correct for the centripetal force acting on the stone at X and Y?

10. A pilot intends to fly a plane from point $A$ to point $B$. Due to strong winds, she points the nose of the plane in the direction shown by the vector $P$. Which of the choices below best represents the direction of the wind encountered by the plane?

A.			B.
C.			D.

11. A projectile is fired at an angle above the horizontal on the surface of Moon. Which of the following statements is correct about its motion:

12. A box of mass m is pulled across a horizontal surface with a force $F$ as shown in the diagram. The coefficient of dynamic friction between the box and the surface is µ. What is the energy transferred to thermal energy while a box is moved by a distance of d?

13. Consider the weight, $W$, of a skydiver falling through the 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.

14. 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?

15. A ball is projected with an initial speed of 2 m s−1 , making an angle of 35o with the horizontal as shown.

Which expression gives the vertical component of the velocity vector?

16. 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 1.5 m s−1. If the power rating of the motor is 297 W, calculate the efficiency of the motor.

17. An airplane in straight level flight experiences a lift force $L$ that is proportional to the speed of the plane and is perpendicular to the axis of the wings and as shown in diagram.

On a banked turn at the same speed, the wings make an angle $\theta$ with the horizontal.

Which of the following gives the centripetal force on the airplane?

18. An object moves at constant velocity for a period of time, after which it undergoes uniform deceleration until it comes to rest. A velocity-time graph is plotted for this motion. On the graph, which of the following represents the displacement of the object?

19. The graph shows the variation of velocity v with time $t$ of a car.

Which of the following can be deduced from the graph?

• I.	Displacement
  II.	Acceleration
  III.	Change in velocity

20. The graph below shows the variation of the resultant force $F$ acting on a box with time t.

The box starts to move from rest. Which of the following graphs shows the variation of the momentum $p$ of the box with time $t$?

A.			B.
C.			D.

21. The diagram below shows a car of mass m descending a slope. The car, initially at rest, covers a distance of $27m$ in 3.0 s.

The magnitude of the acceleration is given by

22. 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.

23. A football player kicks a ball initially at rest. The ball reaches a speed of 36 km h^−1 in a time of $0.5s$. Which of the following is the acceleration of the ball in terms of the gravitational acceleration, $g$?

24. A projectile is fired with a launch angle $\alpha$ above the horizontal and an initial velocity of 40 m s^−1 towards a cliff that rises 300 m above the plane of projection. The cliff is 120 m from the launch point.

Assuming that air resistance has no effect on the motion, then the time of flight taken by the projectile to reach the plane of the cliff, is given by;

25. A rocket ejects hot gas in space in a direction opposite to its travelling direction. What is correct for the magnitude of the momentum and the kinetic energy of the rocket?