posted by ash .
A 88-kg astronaut and a 1200-kg satellite are at rest relative to the space shuttle. The astronaut pushes on the satellite, giving it a speed of 0.25m/s directly away from the shuttle. Seven-and-a-half seconds later the astronaut comes into contact with the shuttle.What was the initial distance from the shuttle to the astronaut?.
Astronaut's speed toward shuttle after pushing satellite can be computed by assuming total momentum remains zero. Satellite and astronaut momentum with respect to shuttle are equal and opposite, so
V = 1200*0.25/88 = 3.41 m/s
Initial distance apart = V*7.5 s = 25.6 m