The formula to determine energy is uppercase E = one-half m v squared. What is the formula solved for v? V = plus-or-minus StartRoot StartFraction m Over 2 uppercase E EndFraction EndRoot v = 2 uppercase E minus m v = plus-or-minus StartRoot 2 uppercase E minus m EndRoot v = plus-or-minus StartRoot StartFraction 2 uppercase E Over m EndFraction EndRoot

Step-by-step explanation:

The formula for energy us given as

E=½mv²

This change of formula question, we want to make v the subject of the formula

E=½mv²

Multiply the right and side and the left hand side by 2 to eliminate the ½

2*E = 2*½ mv²

Then, we have

2E=mv²

Divide both side of the equation by m to eliminate m

2E/m=mv²/m

So we have

2E/m=v²

Now take the square of both side of the equation to eliminate square of v

±√ (2E/m) = √v²

±√ (2E/m) = v

Then,

v=±√ (2E/m)

The last option is the correct option

v = plus-or-minus StartRoot StartFraction 2 uppercase E Over m EndFraction EndRoot