Question

A car traveling at a constant speed of 49.0 m/s passes a trooper on a motorcycle hidden behind a billboard. One second after the speeding car passes the billboard, the trooper sets out from the billboard to catch the car, accelerating at a constant rate of 2.00 m/s2. How long does it take the trooper to overtake the car

Answer 1

24.5secs

Step-by-step explanation:

Given the following parameters

Acceleration a = 2m/s²

Final velocity v = 49m/s

Required

Time t

Using the equation of motion

v = u+at

49 = 0+2t

49 = 2t

t = 49/2

t = 24.5secs

It will take the trooper 24.5secs to overtake the car