The formula represents the kinetic energy K of an object with mass m and velocity v. K=12mv2 Solve for v. v=±12Km2 v=±2K√m v=±2Km‾‾‾‾‾√ v=±2Km√m

Answer:Option 3rd is correct[tex]v = \pm \sqrt{\frac{2K}{m}}[/tex]Step-by-step explanation:Given that:The formula represents the kinetic energy K of an object with mass m and velocity v is given by:[tex]K = \frac{1}{2}mv^2[/tex]          ....[1]Solve for v:Multiply both sides by 2  in [1] we have;[tex]2K = mv^2[/tex]Divide both sides by m we get;[tex]\frac{2K}{m} = v^2[/tex]or[tex]v^2 = \frac{2K}{m}[/tex]⇒[tex]v = \pm \sqrt{\frac{2K}{m}}[/tex]Therefore, the value of v is, [tex]v = \pm \sqrt{\frac{2K}{m}}[/tex]