Kathy Kool buys a sports car that can accelerate at the rate of 4.90 m/s2. She decides to test the car by racing with another speedster, Stan Speedy. Both start from rest, but experienced Stan leaves the starting line 1.00 s before Kathy. If Stan moves with a constant acceleration of 3.50 m/s2 and Kathy maintains an acceleration of 4.90 m/s2, find
(a) The time at which Kathy overtakes Stan,
(b) The distance she travels before she catches him, and
(c) The speeds of both cars at the instant she overtakes him.