Newton’s Law of Gravitation states:
x'' = - (gR^2)/(x^2)
where g = gravitational constant, R = radius of the Earth, and x = vertical distance travelled. This equation is used to determine the velocity needed to escape the Earth.
Using chain rule, find the equation for the velocity of the projectile, v with respect to height x.
Given that at a certain height xmax, the velocity is v = 0; find an inequality for the escape velocity.
