Question #103047

A car is travelling at a constant speed of 670m/s. Passes a trooper hidden behind a Billboard one second of the car passes the Billboard, the trooper sets out from the Billboard to catch it, acelerating at a constant speed of 70m/s².how long does it take her to take the car?

Expert's answer

Let the time of motion of the trooper is "t", then distance traveled by her

The distance traveled by a car

Hence

"\\frac{70t^2}{2}=670(t+1),""t^2-19.1t-19.1=0,""t=20\\:\\rm s."

Finally, the distance traveled by trooper

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