A freezing Legacy student of mass 70 kg is stranded at the center of a frictionless frozen lake. Shelter is on the west side of the lake. All the student has available to them is an 8 kg ball. The student is learned in the ways of physics, so they throw the ball EAST, knowing that the momentum of their system is conserved, so that will make them slide back WEST. This is because the total momentum of the system is zero (since everything was at rest initially), so the rightward momentum of the ball must equal the leftward momentum of the student. If the velocity of the ball was 8 m/s when thrown, what was the student's velocity after the ball was thrown
