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(v)2 -(u)2=2as proved that? in science chapter name force |
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Answer» 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+ 1/2at ^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 )+ 21a( 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 |
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