A professional race-car driver buys a car that can accelerate at 89.0 m/s2. The racer decides to race against another driver in a souped-up stock car. Both start from rest, but the stock-car driver leaves 1.0 s before the driver of the sports car. The stock car moves with a constant acceleration of 28.0 m/s2.
(a) Find the time it takes the sports-car driver to overtake the stock-car driver.
(b) Find the distance the two drivers travel before they are side by side.
(c) Find the velocities of both cars at the instant they are side by side.