A bus is driving towards an intersection where the trafic lights suddenly turns amber. The speed of the bus at that moment is 37.2 km/h.
The light will remain amber for 5 seconds and then will turn red.
The driver decides to speed up to cross the intersection before it turns red. For the purpose of this problem, assume that the intersection is crossed when the back of the bus just clears the traffic lights. Also assume that the driver keeps accelerating at constant acceleration until the bus clears the lights.
The speed limit is 60 km/h.
What is the maximum distance y(in meters) over which the driver can achieve this aim without exceeding the speed limit?
Can anyone help me? I have tried at s=ut+ .5at^2