Question

Derive of v2_u2= 2as.equation​

Answer 1

Explanation:

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+21at2andv=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=av−u

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

S=ut+21at2 becomes,

S=u(av−u)+21a(av−u)2

⇒2aS=2u(v−u)+(v−u)2

⇒2aS=2uv−2u2−v2−2uv−u2

⇒2aS=v2−u2

⇒v2=u2+2aS

*Hope it helped you*

Answer 2

Explanation:

v²–u²=2as

we know in second equation

s = ut + 1/2 a t²

THIS IS YOUR ANSWER.

I HOPE YOU UNDERSTOOD.

PLEASE MARK AS BRIANLIST.

PLEASE LIKE AND COMMENT.