3. Show that for a free fall of a body, the total mechanical energy at any point in
its path is constant.
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Let a body of mass m fall freely under gravity from height h above ground. Let, A B and C be the positions of body. Let x be the distance fallen from A to B. ... Therefore, from equations (i), (ii) and (iii), it is clear that the sum of mechanical energy remains same at any point in the path of free fall of a body.
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