Question

KE= 1/2 mv^2 solve for v

Answer 1

Step-by-step explanation:

$KE = \frac{1}{2} mv^{2}$ solve for v

multiply both sides by 2:

$2(KE) = 2(\frac{1}{2} mv^{2})\\2KE = mv^{2}$

divide both sides by m:

$2KE = mv^{2}\\\frac{2KE}{m} = \frac{mv^{2}}{m}$

$v^{2} = \frac{2KE}{m}$

take the sqrt of both sides:

$\sqrt{v^{2}} = \sqrt{\frac{2KE}{m}}$

so:

$v = \sqrt{\frac{2KE}{m}}\\ OR\\ v = -\sqrt{\frac{2KE}{m}}$