Question

what is v-t graph derove the equation s=u +1/2at 2​

Answer 1

Answer:-

# refer the attachment for figure

As you know area under velocity - time graph gives displacement.

$S = area \: of \: triangle + area \: of \: rectangle$

$S = \frac{1}{2} \times bc \times ac + od \times dc$

$S = \frac{1}{2} (v - u)t + ut$

$(v - u) = at$

$S = \frac{1}{2} a {t}^{2} + ut$

rearranging will give,

$S = ut + \frac{1}{2} a { t}^{2}$

Hence derived.