Please see attachment for full problem description.
A rocket-driven car of total mass M loses mass at a constant rate lembda 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 (lembda V-kv) /(M- lambda t) at time t from the start. Hence show that the speed from rest is (lambda V/k)[1-(1- lambda t/M)^(k/lembda)].
Step by step solution provided.