1. 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?

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 spring with spring constant $k$ is extended by a distance $x$.

The uncertainty of $k$ is 2% and that of $x$ is 3%.

What is the uncertainty of the potential energy stored in the spring?

4. 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:

5. A ball of mass $m$ is falling vertically through the air. The drag force acting on the ball is given by kv2 where $k$ is a constant and $v$ is the speed of the ball. What is the maximum speed reached by the ball?

6. Which of the following is not a suitable SI unit of energy?

7. An object moves $9m$ east, then 12m north.

What is the magnitude of the total displacement of this object?

8. 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.

9. Two eggs of equal mass fall from the same height onto a padded floor. One of them is broken while the other one bounces upwards intact. The time of collision is the same for both. Which of the following correctly describes the egg that exerts more force on the floor and the reason?

10. 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.

11. A basketball is launched at an angle and undergoes projectile motion. Air resistance is negligible. Which of the following is correct for the direction of its velocity vector and its acceleration vector at the highest point of its trajectory?

12. 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?

13. A car of mass $m$ and a truck of mass $3m$ travelling in opposite directions collide and stick together. The speeds of the car and the truck just before the crash are $2v$ and $v$ respectively. What is their speed after the collision

14. 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?

15. 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.

16. 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

17. 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.

18. 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

19. 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?

20. 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.

21. The figure below shows Sankey's diagram for a small thermal plant. What is the efficiency of the system?

22. 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 $y$?

23. The take-off speed of a passenger aircraft is 75.0 ms−1. A plane starts from rest and accelerates at a steady rate of 1.25 ms−2. Which of the following correctly states the minimum duration of taxiing and the minimum length of the runway needed for the takeoff?

24. 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?

25. 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?