Question

Derive the expression,
v² =u²+2a5 graphically​

Answer 1

We will use both of the equations of motion to reach the third equation of motion. This will require a bit of algebra.

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

andv=u+at, include the time variant t

There will be some situations when we do not have any information about time and so it would be a good idea to derive an equation that does not have a t term.

To do this, we rearrange our first equation to get

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

and use this to replace t wherever it appears in the second equation. So

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

$s = \frac{u(v - u)}{a} + \frac{1}{2} a \frac{(v - u {}^{2} )}{a}$