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## Homework Statement

an object of some mass, m, is accelerated upwards (from rest) off the surface off the Earth for some unknown time, t. At the end of this time, the object is travelling at some new speed, x. Derive the following formula. That is, show that no matter how much time the rocket travels for, as long as you know the speed of it in the end, the equation for the universal force of gravitation between the object and the Earth is given by:

FG = (1.6x10^15) x (m/x^2t^4)

## Homework Equations

FG = (1.6x10^15) x (m/x^2t^4)

## The Attempt at a Solution

I have attached a photo of my work, to the point that I got stuck on.