1. If we push one cart [Cart A] into a second stationary cart (Cart B}, vm- is nonzero and VBEZD , respectively. Assume no outside forces will be involved and the collision is elastic (Le. both momentum and kinetic energy are conserved). Derive the general equation for the velocity of Cart A after the collision VA: as well as the velocity of Cart B after the collision V3,: . We want these to he in terms of known quanties: initial velocity VAJ- and the mass of the carts mA and ma . 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 nd the solution before asking your instructor for help