Overview
I'm working on a physics exercise and need an explanation and answer to help me learn.
An astronaut is inside a m=2.4×106 kg rocket that is blasting off vertically from the launch pad.
You want this rocket to reach the speed of sound (344 m/s) as quickly as possible, but you also do not want the astronaut to black out.
Medical tests have shown that astronauts are in danger of blacking out at an acceleration greater than 4g.
If the mass of an astronaut is 84kg and the ship accelerates at 2.3g, what is the shortest time it can take the rocket to reach the speed of sound?