Question

The rockets produced by SpaceX are of the type that carry a great deal of fuel that is ignited to push a high speed exhaust stream out the back of the rocket, pushing it forwards.

The acceleration of such a rocket is described by the following equation a(t) = A / (B - Ct) where A, B, and C are positive constants.

a. Assuming that [a] = L/T2 , and [A] = M·L/T2, find [B] and [C] b. Find an expression for the velocity of the rocket as a function of time, assuming the rocket starts from rest.

Please show work with explanation, thanks

Answer 1