1. 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;

2. 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.

3. 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

4. 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?

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

6. 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?

7. 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 $y$?

8. 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?

9. 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​)?

10. A table tennis ball of mass m is dropped on a level surface from a height $H$. The ball rebounds to a height $h<H$ after impact. Which of the following is correct about the nature of the collision and magnitude of the change in momentum ($\Delta p$) of the ball as a result of this impact?

11. A spring of negligible mass and length of lo​ 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?

12. 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?

13. 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, $g$?

14. 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?

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

Which of the following represents the free body diagram of the pilot at the top of the loop?

A.			B.
C.			D.

16. An object with a weight $W$ connected to one end of a rod of negligible mass rotates at constant speed in a vertical plane.

When the object is at the top position of the circular path, the tension on the rod is zero. What is the magnitude of tension at the bottom position of the circular path?

17. 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)

18. As a truck is brought to rest, the brakes apply a force of 5.1×10power3 N. Which answer best describes the magnitude of the change in momentum of the truck if the brakes are applied for 3.0 s?

19. 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?

20. 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.

21. A car enters a roundabout with a speed $v$. The dotted line shows the path of the car. The road is slightly banked at an angle to the horizontal.

The coefficient of friction between the tires of the car and the road is $\mu$. When $\mu$ decreases, which of the following changes could prevent the car from slipping away on this roundabout?

22. 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.

23. Which of the following is a vector quantity?

24. An object of mass M on a string moves in a circle of radius r at a constant speed.

Which of the following statements is true about the motion of the object:

• I.  The resultant work done on the object is zero.
• II.  The velocity of the object is constant.
• III.  The object is accelerating

25. 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?