Question

A young woman named Kathy Kool buys a
sports car that can accelerate at the rate of
5.14 m/s
2
. She decides to test the car by drag
racing with another speedster, Stan Speedy.
Both start from rest, but experienced Stan
leaves the starting line 0.78 s before Kathy.
Stan moves with a constant acceleration of
3.68 m/s
2
and Kathy maintains an acceleration of 5.14 m/s
2
.
Find the time it takes Kathy to overtake
Stan.
Answer in units of s