Write any two equations of motion for a body having uniform acceleration.
(N/A) The three equations of motion for a body moving with uniform acceleration are:
$(i)$ $v = u + at$
$(ii)$ $S = ut + \frac{1}{2}at^2$
$(iii)$ $v^2 = u^2 + 2aS$
Where:
$u$ = initial velocity
$v$ = final velocity
$a$ = uniform acceleration
$t$ = time taken
$S$ = displacement covered
Any two of these equations can be provided as the answer.
$(i)$ $v = u + at$
$(ii)$ $S = ut + \frac{1}{2}at^2$
$(iii)$ $v^2 = u^2 + 2aS$
Where:
$u$ = initial velocity
$v$ = final velocity
$a$ = uniform acceleration
$t$ = time taken
$S$ = displacement covered
Any two of these equations can be provided as the answer.
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Derive the following equations for a uniformly accelerated motion:
$(i)$ $v = u + at$
$(ii)$ $S = ut + \frac{1}{2}at^2$
$(iii)$ $v^2 - u^2 = 2aS$, where the symbols have their usual meanings.
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$(ii)$ $S = ut + \frac{1}{2}at^2$
$(iii)$ $v^2 - u^2 = 2aS$, where the symbols have their usual meanings.
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