Derive the differential equation(s) describing the given physical situation. Newton’s s...

Derive the differential equation(s) describing the given physical situation.

Newton’s second law when the mass of an object is variable, this latter formulation is used. The mass of a rocket launched upward changes as its fuel is consumed. * If denotes its velocity at any time, it can be shown that

Where V is the constant velocity of the exhaust gases relative to the rocket. Use (29) to find the differential equation for v if it is known that are constants.