A \(1500-\mathrm{kg}\) truck and a \(1000-\mathrm{kg}\) car are parked with their rear bumpers nearly touching each other in a level parking lot. Both vehicles have their brakes off so that they are free to roll. A man sitting on the rear bumper of the truck exerts a constant horizontal force on the rear bumper of the car with his feet, and the car accelerates at \(1.2 \mathrm{~m} / \mathrm{s}^{2}\).

(a) What are the magnitude and direction of the acceleration of the center of mass of the car-truck system?

(b) What vector sum of forces (magnitude and direction) is exerted on each vehicle?

(c) What are the magnitude and direction of the acceleration of the truck? Ignore any friction between the tires and the parking lot surface.