A car starts from rest at a point S on a straight racetrack. The car moves with constant acceleration for 20 s, reaching a speed of 25 m s–1. The car then travels at a constant speed of 25 m s–1 for 120 s. Finally it moves with constant deceleration, coming to rest at a point F.
(a) In the space below, sketch a speed-time graph to illustrate the motion of the car.(2)
The distance between S and F is 4 km.
(b) Calculate the total time the car takes to travel from S to F.(3)
A motorcycle starts at S, 10 s after the car has left S. The motorcycle moves with constant acceleration from rest and passes the car at a point P which is 1.5 km from S. When the motorcycle passes the car, the motorcycle is still accelerating and the car is moving at a constant speed. Calculate
(c) the time the motorcycle takes to travel from S to P,(5)
(d) the speed of the motorcycle at P.
could someone please explain how to solve c) part, i do have the ans, but i dont kno how they reached to it.