A young women named Kathy Kool buys a sports car that can accelerate at the rate

Question

A young women named Kathy Kool buys a sports car that can accelerate at the rate of 4.90m/s2. She decides to test her car by drag racing with another speedster, Stan Speedy. Both start from rest, but experienced Stan leaves the starting line 1.00s before Kathy. If Stan moves with a constant acceleration of 3.50m/s2 and Kathy maintains an acceleration of 4.90m/s2, find:
a.) Time it takes kathy to overtake Stan
b.) Distance she travels before she catches him
c.)The Speeds of both cars at the instant she overtakes him.

Explanation / Answer

a) .5*a1*t^2 = .5*a2*(t+1)^2 so, t = 5.46s

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