Question

Derive Equation
v²-u²
= 2 as​

Answer 1

Answer:

it is as initial velocity -final Velocity

Explanation:

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Answer 2

Explanation:

We will use both of the equations of motion to reach the third equation of motion

S = ut + 1/2 at^2 and v = 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 / t

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

S = ut + 1/2 at^2 becomes,

S = u ( v- u / a ) + 1/2 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

therefore, v^2 - u^2 = 2aS

Hope this will help you