A 5 kg cart, cart A, moves with v=3m/s and collides with another 5 kg cart, cart B, head on at rest. Neglecting air resistance and friction, do the following: a) Find the final velocity of the carts if the collision is perfectly inelastic. b) Find the linear momentum of each car before and after the collision if it is a perfectly inelastic collision. c) Find the kinetic energy before and after the collision if is perfectly inelastic. d) If the collision were elastic, what would be their final velocities? What would be the kinetic energy of each before and after the collision?