You are assigned to do some calculations for a movie stunt that involves a car on a straight road. The road has a hill that rises 8.0 m above the flat region. The top of the hill is a circular arc of radius 20 m. You need to determine whether a car traveling under certain conditions will lose contact with the road at the top of the hill. There is a stop sign 50 m from the beginning of the hill. You are to assume that a car of mass 1600 kg accelerates uniformly from rest at the stop sign, has a speed of 17 m/s when it reaches the beginning of the hill, and then coasts with the engine off. Assume energy losses due to friction and air resistance are negligible. a) Calculate the magnitude of the acceleration of the car during the first 50 m. b) Calculate the time it takes the car to reach the beginning of the hill c) Calculate the magnitude of the net force required to accelerate the car during the first 50 m. d) draw and label the forces (not components) that act on the car at the top of the hill if it travels over the hill without losing contact. e) Calculate the minimum speed the car must have at the top of the hill to momentarily lose contact with the road. If you need to draw anything other than what you have shown in part (d) to assist in your solution, use the space below. Do NOT add anything to the figure in part (d).