Question

What is the answer to E = 1/2mv^2 for v

Answer 1

To solve for v, we are going to first divide by everything on the right so that we get the v term by itself:

`(E)/((1)/(2)m)=v^(2)`

`(2E)/(m)=v^(2)`

Then, to solve for v, we are going to take the square root of both sides:

`\sqrt{(2E)/(m)}=v`

So by some algebraic manipulation, we are able to solve for v, which is:
`\sqrt{(2E)/(m)}`.