Question

Please help!! Also please explain if possible...

Answer 1

This is third equation of motion. As there is no values given, I assume you just have to keep variable 'a' (representing acceleration) on one side of the equation and all other variables on the other side.

$v_{f}^{2}= v_{o}^{2}+2a(x_{f}-x_{o})$

$v_{f}^{2}- v_{o}^{2}=2a(x_{f}-x_{o})$

$\frac{v_{f}^{2}- v_{o}^{2}}{2(x_{f}-x_{o})}=a$

OR

$a=\frac{v_{f}^{2}- v_{o}^{2}}{2(x_{f}-x_{o})}$

Here, $v_{o}$ is initial velocity,

$v_{f}$ is final velocity ,

$x_{o}$ is initial position,

$x_{f}$ is final position, and

a is acceleration.