Derive the equation for the vertical acceleration of a rocket.

Step-by-step solution In this problem we have to derive the equation for the vertical acceleration of a rocket. Step 1 of 4 Assume that the mass of the rocket is m to be accelerated with the acceleration of a , then the force needed is, Now, consider the thrust force ; which expel the mass of the rocket in time gets the exhaust velocity . So, the expression of force from newton’s second law will be,