
A car is travelling along a straight horizontal road. The car passes through a point A, on the road travelling at a speed of
, and then accelerates uniformly at
for 30 seconds. The car then moves at constant speed for
seconds, where
. The car then decelerates uniformly at
, and after a further
seconds passes through a point B on the road. On the given axes, sketch a velocity-time graph for the motion of the car between points A and B.
The distance from A to B is
.