. Using these two equations it is possible to solve for both nal speeds . However , the algebra is somewhat challenging because one of the equations has the final speeds of the two cars both squared. The book provides the general solutions to these equations in which you can plug in the initial speeds and the masses of the cars and obtain the final speeds. That won't be necessary here. Instead, suppose someone measures the final speed of the SUV to be 9.0 m/s. What is the final speed of the smart car? You should get the same number if you use either equation , so make sure you use both . Using the momentum equation Using the conservation of KE equation Suppose that this collision also took 0.1 seconds. What is the magnitude of the net force acting on either car during the collision? How does this force compare to the perfectly inelastic collision? . What is the acceleration acting on the smart car? On the SUV '3' Which car would you rather be in? Answer the question by finding the net force acting on you [mass 50 kg) if you were in the smart car or if you were in the SUV . Compare this net force to your weight (use a ratio like before ). . Generally how do elastic collisions compare to perfectly inelastic collisions? Discuss the forces being exerted on the cars, the accelerations and the kinetic energies