Question

Rewrite the following equation in terms of $a$:

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

Answer 1

The given equation is

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

$\Rightarrow \frac{1}{2}a{t}^2=s-ut$

$\Rightarrow a{t}^2=2(s-ut)$

$\Rightarrow a=2\left(\frac{s-ut}{t^2}\right)$

Therefore, $a$ can be written as: $a=2\left(\frac{s-ut}{t^2}\right)$