Question

A car is travelling at a constant speed of 45 m/s passes a topper behind a billboard. one second of the car passes the billboard the trooper sets out from the billboard to catch it,accelerating at a constant speed of 3 m/s. how long does it take her to overtake the car?

Answer 1

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

$$45(t+1)=0.5(3)t^2$$

$$t=31\ s$$