Originally Posted by

**fishkeeper** Here is the question:

A cyclist starts from rest and accelerates at $\displaystyle 1.6m/s^2$ for 10 seconds along a straight horizontal road and then continues at a constant speed. A motorist sets off from the same point as the cyclist at the same time and accelerates at a constant rate for 8 seconds, reaching a maximum speed of $\displaystyle V ms^1$. The car then decelerates at a constant rate until it comes to rest after a further 15 seconds. At the instant when the car comes to rest, it is overtaken by the cycle.

A) Calculate the greatest speed attained by the cyclist

B) Sketch a speed-time graph showing the motions of both the cyclist and the motorist

C) Calculate the total distanceb travelled by the cyclist before overtaking the car.

D) Calculate the value of V