If we push one cart (Cart A) into a second stationary cart (Cart B), v_Ai is nonzero and v_Bi=0, respectively. Assume no outside forces will be involved and the collision is elastic (i. e. both momentum and kinetic energy are conserved). Derive the general equation for the velocity of Cart A after the collision v_Af as well as the velocity of Cart B after the collision v_Bf. We want these to be in terms of known quantities: initial velocity v_Ai and the mass of the carts m_A and m_B. Refer to the "Useful Theory" section below to get you started. If you get stuck, work with your lab partners and refer to your text to find the solution before