Question

KE= 1/2 mv^2 solve for v

Answer 1

Explanation:

`KE = (1)/(2) mv^(2)` solve for v

multiply both sides by 2:

`2(KE) = 2((1)/(2) mv^(2))\\2KE = mv^(2)`

divide both sides by m:

`2KE = mv^(2)\\(2KE)/(m) = (mv^(2))/(m) \\`

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

take the sqrt of both sides:

`\sqrt{v^(2)} = \sqrt{(2KE)/(m)}\\`

so:

`v = \sqrt{(2KE)/(m)}\\ OR\\ v = -\sqrt{(2KE)/(m)}\\`