At the instant a traffic light turns green, a car starts from rest with a given constant acceleration 0.5 m/s^2. just as the light turns green, a bus, traveling with a given cinstant speed 16.0 m/s, passes the car. The car speeds up and passes the bus some time later. How far down the road has the car traveled when the car passes the bus?

1 answer

d = 16 t
d = (1/2) (.5) t^2 = .25 t^2
so
16 t = .25 t^2

t = 0 as we know
.25 t = 16
t = 64 seconds
d = 16*64 = 1024 meters