Mathematics 9709/43 — May/June 2019

A bus moves in a straight line between two bus stops. The bus starts from rest and accelerates at $2.1\text{ m s}^{-2}$ for $5\text{ s}$. The bus then travels for $24\text{ s}$ at constant speed and finally slows down, with a constant deceleration, stopping in a further $6\text{ s}$. Sketch a velocity-time graph for the motion and hence find the distance between the two bus stops.