Question

please give solution
derive 2 as=u² - v²​

Answer 1

Answer:

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+1/ 2at^2andv=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=v−u/a

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

S=ut+1/ 2at^2

becomes,

S=u(v−u/a )+1/2a( v−u/a )^2

⇒2aS=2u(v−u)+(v−u)^ 2

⇒2aS=2uv−2u^2 −v^2 −2uv−u^2

⇒2aS=v^ 2 −u^2

⇒v^2 =u^2 +2aS