## Example 1

A particle passes through a point A moving at 2 ms^{-1} and continues with a constant velocity for 5 s until it reaches a point B. At B, it accelerates at a constant rate for 4 s until it passes through a point C moving with a velocity of 5 ms^{-1}. Find the distance covered and the acceleration from B to C.

## Example 2

A stone slides across a sheet of ice and passes through a point A moving with velocity of 12 ms^{-1} and a point B 2 s later. Assuming the acceleration is constant and that AB is 20 m.

Find

(a) the deceleration

(b) the velocity at B

(c) the distance travelled by the stone from A until it comes to rest.