otherwise stated, in the following problems we

Chapter 3, Problem 11E

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QUESTION:

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.]

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QUESTION:

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.]

ANSWER:

Solution:Step 1In this problem we have to find the velocity of object which is independent of time.

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