a rocket traveling was space with a constant velocity of 10m/s fires up a booster. they booster accelerates see Rocky at a rate of 5m/s^2. What distance in meters has the rocket travel within 12 seconds after the booster turned on?

A14 kg rock starting from rest free falls through a distance of 5.0 m with no air resistance. find the momentum change of the rock caused by its fall and the resulting change in the magnitude of earths velocity. earth mass is 6.0 * 10^24 kg. show your work assuming the rock earth system is closed.