Answer to Question #103051 in Mechanics | Relativity for Nimra

Question

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?

Answer 1

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

$$d=0.5at^2$$

The distance traveled by a car

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

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

$$t=1.6\ s$$