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 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 take off?

3. 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?

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

What is the linear speed of the object?

5. 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 20ms^−1. What is the height of the cliff?

6. 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.

7. 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?

8. 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 $Y$?

9. A box is pulled up a slope inclined at 30° to the horizontal by a force of $F$. The angle between the direction of $F$ and the plane of the incline is also 30°.

The box is pulled a distance of d up along the slope. What is the work done by F on the box?

10. 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?

11. 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.

12. 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 $s$?

13. 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

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

15. 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?

16. 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.

17. Which of the following is a vector quantity?

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. Observations of muon decay can be used as evidence of

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

20. An object sits on a rotating horizontal disc. The disc rotates from rest with uniform angular acceleration $\alpha$. After time $t$ the object slides off of the disc.

What is the linear speed of the object at this time?

21. 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?

22. 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?

23. 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?

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

25. 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?