A professional race car driver buys a car that can accelerate at +5.9 m/s. The r

Question

A professional race car driver buys a car that can accelerate at +5.9 m/s. 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 race car. The stock car moves with with a constant acceleration of +3.6 m/s. A) Find the time it takes the race car driver to overtake the stock car driver. B) Find the distance the two drivers travel before they are side by side , and C) Find the velocities of both cars at the instant they are side by side.

Explanation / Answer

a1 = 5.9 m/s2, a2 = 3.6 m/s2, find t

a1t2/2 = a2(t + 1)2/2

a1t2 = a2(t2 + 2t + 1)

5.9t2 = 3.6(t2 + 2t + 1)

5.9t2 = 3.6(t2 + 2t + 1)

0.64t2 - 2t - 1 = 0

t = 3.56 s

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