Mathematics

1. 1.

   A car moving at 12 m/s accelerates uniformly at 2 m/s^2 for 8 seconds. Find its final speed and the distance travelled in this time.

   [3 marks] · no calculator
2. 2.

   A 5 kg block on a rough horizontal surface is pulled by a horizontal force of 20 N. Friction is 8 N. Find the acceleration and the distance travelled in the first 5 seconds from rest.

   [3 marks] · no calculator
3. 3.

   A ball is projected from level ground at 20 m/s at 30 degrees above the horizontal. Taking g = 9.8 m/s^2, find the time of flight, the horizontal range and the greatest height.

   [4 marks]
4. 4.

   Particles of mass 3 kg and 5 kg are connected by a light inextensible string passing over a smooth fixed pulley. They are released from rest. Taking g = 9.8 m/s^2, find the acceleration and the tension.

   [4 marks]
5. 5.

   A uniform horizontal beam AB of length 4 m and mass 20 kg rests on supports at A and B. A load of mass 30 kg is placed 1 m from A. Taking g = 9.8 m/s^2, find the reactions at A and B.

   [5 marks]
6. 6.

   A particle moves along a straight line with acceleration a = 6t - 12 m/s^2. When t = 0 the particle is at the origin with velocity 9 m/s. Find (a) the velocity and displacement as functions of t, (b) the times when the particle is at rest, (c) the total distance travelled in the first 4 seconds.

   [6 marks] · no calculator

Original, unofficial practice questions from SubjectScout — not official past-paper questions.