The 410kg mine car is hoisted up the incline using the cable and motor. For a short time, the force in the cable is F= (3200 t^2) N, where t is in seconds. (Incline is a 17-8-15 triangle) If the car has an initial velocity v1= 2m/s at s= 0 and t= 0, determine the distance it moves up the plane when t= 3s.