A car traveling at a constant speed of 36.4 km/hr passes a trooper hidden behind a billboard. One second after the speeding car passes the billboard, the trooper sets in a chase after the car with a constant acceleration of 3.96

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the car's speed is 36.4 * 5/18 = 10.11 m/s

the troop chases with an initial velocity u = 0

and acceleration = 3.96m/s^2

After a time t sec

the distance covered by the car = 10. 11 * t

and by the trooper = 0.5* a*t^2

for a successful chase, both the distances need to be equal:

so on solving we get t= 5.1 se

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