A car is travelling at 15 ms¹ when the speed limit increases and the car accelerates at a constant rate of 3 ms-²
until reaching a top speed of 30 ms-¹.
a Find the distance covered until reaching top speed.
b Once the car is at top speed, there is a set of traffic lights 600 m away. The car maintains 30 ms until it
starts to decelerate at a constant rate of 5 ms2 to come to rest at the lights. Find the time taken from
reaching top speed until it comes to rest at the traffic lights.