Kinematics revision

  1. A train starts from rest and accelerates uniformly, at 2 m/s2, until it attains a speed of 20 m/s. Find the distance the train travels during this motion and the time taken.
  1. According to the high way code, a car travelling at 20 m/s requires a minimum braking distance of 30m. What retardation is this and what length of time will it take?
  1. A car is initially travelling at 2m/s when it starts to accelerate at 3 m/s2. Find how far the car is from its original position after

(a) 1 seconds, (b) 4 seconds.

  1. A body moves along a straight line uniformly increasing its velocity from 10 m/s to 15 m/s in a time interval of 10 s. Find the acceleration of the body during this time and the distance travelled.
  1. A particle is projected away from an origin O with initial velocity 0.5 m/s. The particle travels in a straight line and accelerates at 1.5 m/s2.

Find (a) how far the particle is from O after 2 seconds,

(b) the distance travelled by the particle during the first 2 seconds of projection.

  1. A particle travels in a straight line with uniform acceleration. The particle passes through two points A and B, at times t = 2 s and t = 6 s respectively. If AB = 25 m and the speed of the particle when at B is 7 m/s find the acceleration of the particle and its speed when at A.
  1. A stone is dropped from a position which is 19.6 metres above the ground. Find the time taken for the stone to reach the ground.
  1. A stone is dropped from the top of a tower and falls to the ground below. If the stone hits the ground with a speed of 21 m/s, find the height of the tower.
  1. A ball is thrown vertically downwards from the top of a tower and has an initial speed of 5 m/s. If the ball hits the ground 3 seconds later, find

(a) the height of the tower, (b) the speed with which the ball strikes the ground.

  1. A stone is projected vertically upwards from level ground with a speed of 14 m/s. Find the maximum height of the stone above ground and the time taken for the stone to reach the ground.
  1. A ball is thrown vertically upwards from a point A, with initial speed of 2.1 m/s, and is later caught again at A. Find the length of time for which the ball was in the air.
  1. A footballer kicks a ball vertically upwards from ground level with an initial speed of 14.7m/s. Find the height above ground level of the highest point reached and the total time for which the ball is in the air.