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In: Physics

A car travelling at 3.0 m/s drives into an empty parking space. At the same instant,...

A car travelling at 3.0 m/s drives into an empty parking space. At the same instant, a truck that has an inertia 50% greater than the car’s is using the same parking space to take a shortcut through the parking lot. Both vehicles are coasting (zero acceleration conveniently), and just before they hit head-on, the truck is moving at 4.0 m/s. During the collision 75% of the initial KE of the car-truck system is converted to internal energy. There are on unbalanced external forces.
1. Explain why the direction of the truck is a better choice for the postive x-direction.
2. Right at the end of your solution, you will solve a quadratic equation. The quadratic equation will have two distinct solutions, but only one will make physical sense. Explain your choice. Hint: be sure to find the velocities of the truck and car before making a decision.
3. Give the final velocities of the two vehicles.

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