Question

Please help me with this question. I got a m = m0 * e^(-gt/Vex) for part a, but not sure about it. Thanks for the help.

3. A multi-stage rocket of initial total mass mo is launched vertically from rest. The rocket engine burns fuel at a given constant rate k and sends out the exhaust at a constant speed vex. Neglect air resistance and assume a constant gravitational acceleration g a) Write down the expression for the mass of the rocket as a functiorn of time. b) Stage 1 completes when the mass of the rocket is mo/2. What is the speed of the rocket at the completion of stage 1?

Answer 1