Question

Prove the following formulae:
$v=u+at$

Answer 1

Let a body starts moving with a velocity $u$. After time $t$, the velocity of the body becomes $v$.

Since the velocity of the body changes, the acceleration $a=\frac{\text{Change in velocity}}{\text{Change in time}}=\frac{v-u}{t}$

$\therefore a=\frac{v-u}{t}$

$\Rightarrow v-u=at$

$\Rightarrow v=u+at$