You make your way north through the city to the Stadtpark to rendezvous with you

Question

You make your way north through the city to the Stadtpark to rendezvous with your contact. Unfortunately, just as you sit down with him under a leafy linden tree he is suddenly shot by a sniper inside a nearby parked car. The car immediately speeds away but you have little doubt that the shooter was none other than Reinhard Heuchler, your quarry. You quickly hurry back to your car and begin to chase him. Soon you are outside of the city and pursuing him NNE along the A9 toward Berlin. Both of you are weaving in and out of traffic, but accelerating at constant
rates. At one instant you are 4 km behind Reinhard, moving at 50 m/s, and accelerating at 1 m/s^2. Reinhard is moving at 55 m/s and accelerating at 0.5 m/s^2.
How much time (in s) will elapse from this instant before you catch up with him?

Explanation / Answer

d1=distance travelled by me d2=distance travelled by reinhard d1=4000(m)+d2 time is same in both cases d1=v1*t+(.5)*a1*t^2=50*t+.5*t^2 d2=v2*t+(.5)*a2*t^2=55*t+.25*t^2 solving above euation we get t=136.88sec

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