The cart has mass M and rolls freely down the slope. When it reaches the bottom, a spring loaded gun fires a ball of mass { M }_{ 1 } out the back with a horizontal velocity { v }_{ bc } measured relative to the cart. Determine the final velocity of the cart. Given: M = 3 kg , h = 1.25 m , { M }_{ 1 } = 0.5 kg , g = { 9.81 m/s }^{ 2 } , { v }_{ bc } = 0.6 m/s