1. The problem statement, all variables and given/known data In your design of an experimental spring powered model car, you note that the speed of the car (mass Mc) increases as the car travels further. The exact relationship is that v(x) = C|x|, where C is a constant and x is the position of the car with respect to the starting position. a) Derive an expression for the force provided by the spring as a function of distance. b) How much work does the spring do as it moves the cart from x0 to xf? 2. Relevant equations F=ma W = Fd cosθ W spring = ΔKE = 1/2*k*(xf2 - xi2) 3. The attempt at a solution I thought of integrating the velocity to get the position function but since the velocity given is the velocity as a function of position, I'm not exactly sure where to go with that. Any advice would be great! Thanks!