Question

K=mv^2/2 solve for v

Answer 1

Answer:
`v=\sqrt[]{(2K)/(m) }`

Explanation:

`K=(mv^2)/(2)`

First, multiply by 2 to get rid of the 2 in the denominator. Remember that if you make any changes you have to make sure the equation keeps balanced, so do it on both sides as following;

`2*K=(mv^2)/(2)*2`

`2K=mv^2`

Divide by m to isolate
`v^2`.

`(2K)/(m)=(mv^2)/(m)`

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

To eliminate the square and isolate v, extract the square root.

`\sqrt[]{(2K)/(m) }=\sqrt[]{v^2}`

`\sqrt[]{(2K)/(m) }=v`

let's rewrite it in a way that v is in the left side.

`v=\sqrt[]{(2K)/(m) }`