Lead-Foot Lenny approaches and passes straight through an intersection after the

Question

Lead-Foot Lenny approaches and passes straight through an intersection after the traffic light has turned red, traveling at a steady 20.0 m/s. Immediately, a state trooper parked 50.0 m behind the intersection pulls out and begins accelerating at 4.00 m/s2 in pursuit of Lenny.
a) How long will it take the state trooper to overtake Lenny?
b) Determine how far Lenny and the trooper will be from the intersection when the trooper overtakes Lenny.
c) Find the speed of the trooper when he overtakes Lenny.

Explanation / Answer

20*t = 0.5*4*t^2 t = 10 sec distance = 20*t = 200m speed of trooper = u +at = 0 + 4*10 = 40m/s

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