A barge of mass M = 340 kg is floating on a lake (assume there are no forces between the barge and the water in the plane of the lake and that the water is not moving). The barge is moving at a velocity vb = 0.4 m/s along the +x direction. As the barge floats by, a man of mass m = 80 kg standing at the edge of the lake takes a running start and jumps in the air, landing on the barge. His velocity in the air is vm = 1.2 m/s, along the +y direction.(a) At what angle θ relative to the +y direction do the barge and the man travel after the jump?(b) Which of the following would increase the angle θ?1. Increasing the mass M of the barge.2. Increasing the speed vm of the jumping man.3. Increasing the mass m of the man jumping.(c) What is the kinetic energy of the system including the man and the barge, after the man has landed on the barge?