Question

A car is travelling at a constant speed of 1000m/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 250m/s².how long does it take her to take the car?

Answer 1

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

$$d=0.5at^2$$

Thus,

$$v(t+1)=0.5at^2$$

$$1000(t+1)=0.5(250)t^2$$

$$t=8.9\ s$$