Draw a velocity-time graph to show the following motion :

A car accelerates uniformly from rest for 5 s; then it travels at a steady velocity for 5 s.

A train travelling at 20 m s^-1 accelerates at 0.5 m s^-2 for 30 s. How far will it travel in this time?

A cyclist is travelling at 15 m s^-1. She applies brakes so that she does not collide with a wall 18 m away. What deceleration must she have?

The velocity-time graph for part of a train journey is a horizontal straight line. What does this tell you about

(a) the train’s velocity, and

(b) about its acceleration?

Explain the meaning of the following equation of motion :

v = u + at

where symbols have their usual meanings.