Answer:
v = ± [tex]\sqrt{\frac{2E}{m} }[/tex]
Step-by-step explanation:
Given
E = [tex]\frac{mv^2}{2}[/tex] ( multiply both sides by 2 to clear the fraction )
2E = mv² ( divide both sides by m )
[tex]\frac{2E}{m}[/tex] = v² ( take the square root of both sides )
v = ± [tex]\sqrt{\frac{2E}{m} }[/tex]