Acar is traveling at a constant speed of 120 km/hr. 6 seconds after the car passes point a, a motorcycle patrolman starts from rest at a. if the patrolman accelerates at the rate of 6.2 m/sec2 until he reaches his maximum permissible speed of 145 km/hr, which he maintains, calculate the distance s from point a to the point at which he overtakes the car.