In a long and straight highway, a bus initially at rest starts to accelerate at a constant rate of 2.50 m/s². At the same instant, a car at some distance behind the bus, initially traveling at 15.0 m/s, also starts to accelerate at 4.00 m/s². The bus was overtaken by the car when its speed reaches 30.0 m/s. (a) Initially, how far is the car behind the bus? (b) How fast is the car moving when they are abreast? (c) How far will the car be ahead of the bus 3.00 s after it overtakes the bus?