Assignment:
Question. A rocket-driven car of total mass M loses mass at a constant rate per unit of time at a constant ejection speed V relative to the car. If the total resistance to motion is kv with the speed is v, show that the acceleration of the car along a straight horizontal road is ( V-kv) /(M- t) at time t from the start. Hence show that the speed from rest is ( V/k)[1-(1- t/M)^(k/ )]