Answer to Question #103051 in Mechanics | Relativity for Nimra

Question #103051
A car is travelling at a constant speed of 11m/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 22m/s².how long does it take her to take the car?
1
Expert's answer
2020-02-21T10:03:40-0500

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


d=0.5at2d=0.5at^2

The distance traveled by a car


d=v(t+1)d=v(t+1)

v(t+1)=0.5at211(t+1)=0.5(22)t2v(t+1)=0.5at^2\to 11(t+1)=0.5(22)t^2

t=1.6 st=1.6\ s


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