Question

(v)2 -(u)2=2as proved that? in science chapter name force​

Answer 1

Answer:

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+  1/2 at  ^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=   v−u/a

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

S=ut+ 1/2   at ^ 2

becomes,

S=u(   v−u/a  )+  2 1 ​a(   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