Problem

A person P is initially standing on a cart on rails, which is moving to the right with a s...

A person P is initially standing on a cart on rails, which is moving to the right with a speed υ0 = 2 m/s. The cart is not being propelled by any motor. The combined mass of person P, the cart, and all that is being carried on the cart is 270 kg. At some point a person PA standing on a stationary platform throws to person P a package A to the right with a mass mA = 50 kg. Package A is received by P with a horizontal speed υA/P = 1.5 m/s. After receiving the package from A, person P throws a package B with a mass mB = 45 kg toward a second person PB. The package intended for PB is thrown to the right, i.e., in the direction of the motion of P, and with a horizontal speed υB/P = 4 m/s relative to P. Determine the final velocity of the person P. Neglect any friction or air resistance acting on P and the cart.