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Der use the kinematic equatic y2-u2=2as |
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Answer» 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+ 2 1
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= a v−u
and use this to replace t wherever it appears in the second equation. So S=ut+ 2 1
at 2 S=u( a v−u
)+ 2 1
a( a v−u
) 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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