The 3000-lb vehicle has left the ground after driving over a rise. At the instant shown, i...

The 3000-lb vehicle has left the ground after driving over a rise. At the instant shown, it is moving horizontally at 30 mi/h and the bottoms of its tires are 24 in above the (approximately) level ground. The earth-fixed coordinate system is placed with its origin 30 in above the ground, at the height of the vehicle’s center of mass when the tires first contact the ground. (Assume that the vehicle remains horizontal.) When that occurs, the vehicle’s center of mass initially continues moving downward and then rebounds upward due to the flexure of the suspension system. While the tires are in contact with the ground, the force exerted on them by the ground is –2400i – 18,000yj (lb), where y is the vertical position of the center of mass in feet. When the vehicle rebounds, what is the vertical component of the velocity of the center of mass at the instant the wheels leave the ground? (The wheels leave the ground when the center of mass is at y = 0.)