Question

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↪Derive the mathematical formulation of kinetic energy.

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Answer 1

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↪ From position-velocity equation, we have,

★ v² - u² = 2as

=> s = v² - u²/2a .......→(i)

↪From Newton's 2nd Law of Motion, we have,

★ F= m × a .......→(ii)

↪Also, we know that,

★ W = F × s .......→(iii)

↪ Now, on substituting (i) and (ii) in (iii), we get,

W = m × a × [v² - u²/2a]

[Suppose that u = 0, i.e., when the object is initially at rest..then,]

=> W= mv²/2

or W = 1/2 mv²

▶ Therefore, kinetic energy = 1/2 mv².

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Answer 2

Explanation:

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