1. 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?

2. 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 $s$?

3. 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 $y$?

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

5. 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.

6. 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​)?

7. 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?

8. 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?

9. 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?

10. 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)

11. 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.

12. 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?

13. 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?

14. 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?

15. 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?

16. 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.

17. 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?

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

19. 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?

20. 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?

21. 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 $d$?

22. 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

23. 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?

24. 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

25. Which of the following is a vector quantity?