Question

An astronaut accidentally gets separated out of his small spaceship accelerating in inter stellar space at a constant rate $50m{s}^{-2}$, what is the acceleration of the astronaut the instant after he is outside the spaceship? (Assume that there are no nearby starts to extract gravitational force on him).

Answer 1

Initially, the force was given by the rocket. Once he is separated from the spaceship, there are no nearby starts to exert a gravitational pull, and the small spaceship exerts negligible gravitational attraction on him.

F = ma

if f = 0 then a = 0

So, by the first law of motion, the acceleration must be zero.