Finding the Velocity
How will the velocity of a rocket change as it consumes its fuel? we have
for the increase in the speed of’.the rocket during the change in mass from M, to Mf. (The symbol in means the natural logarithm.) We see here the advantage of multistage rockets, in which Mf is reduced by discarding successive stages when their fuel is depleted. An ideal rocket would reach its destination with only its payload remaining.