Question

Derive the formula v2=u2+2gh
Please it's urgent

Answer 1

Answer ⇒ v² - u² = 2aS

Explanation ⇒

We know that acceleration is the rate of change of velocity.

Thus, a = dv/dt

∴ a = dv/dt × ds/ds

∴ a = dv/ds × ds/dt

∴ a = vdv/ds  [Since, ds/dt is velocity.]

∴ ads = vdv

Integrating both sides within proper limit,

$a\int\limits^S_0 {1} \, dS = \int\limits^v_u {v} \, dv$

∴ a[S - 0] = 1/2 × [v² - u²]

∴ v² - u² = 2aS

This proves our Condition.

Hope it helps.

Answer 2

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