A 1000kg rocket is set vertically on its launching pad. The propellent is expelled at the rate of 2kg/s. Find the minimum velocity of the exhaust gases so that rocket just begin to rise. Also find rocket's velocity 10second after ignition, assuming the minimum exhaust velocity.

Answer 1

Are you in calculus? The calculus problem here is that you have a constant pushing force (mg) however, the mass of the rocket is constantly decreasing mass=(1000-2t)g so acceleration is the inverse of that, which is not linear, and you have to integrate over the time 0 to 10 to find vfinal.
Let me know.