Unless otherwise stated, in the following problems we assume that the gravitational...

Unless otherwise stated, in the following problems we assume that the gravitational force is constant with g = 9.81 m/sec² in the MKS system and g = 32 ft/sec² in the U.S. Customary System.

In Example 1, we solved for the velocity of the object as a function of time (equation (5)). In some cases, it is useful to have an expression, independent of t, that relates v and x. Find this relation for the motion in Example 1. [Hint: Letting , v(t) = V (x (t)) then dv/dt = (dV/dx)V.]