A car and a motorcycle are stopped at a traffic light. As the light turns green,

Question

A car and a motorcycle are stopped at a traffic light. As the light turns green, both the car and the motorcycle start to accelerate at the same time. The motorcycle accelerates at 5 ms/-2 for 4 seconds, and then continues at a constant speed. The car also accelerates for a period of time and then continues at a constant speed. If the car accelerates at 3ms/-2 from the traffic lights, for how long must it accelerate so that the car catches up the motorcycle 30 seconds after the lights turn on green ?

Explanation / Answer

vf^2=v0^2+2ad vf=final velocity v0=intiial velocity = 5m/s a=accel = -0.25m/s/s d=10m vf^2=5^2-2*0.25*10 vf=4.47m/s

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