# How do you solve for v in Ve= 1/2 mv^2?

Apr 21, 2016

 color(green)(v =sqrt((2Ve) / ( m )

#### Explanation:

$V e = \frac{1}{2} m {v}^{2}$

Ve = color(blue)(1/2) * m * color(green)(v^2

(Ve ) * color(blue)(2/1) * 1 / m = color(green)(v^2

(2Ve) / ( m )= color(green)(v^2

 color(green)(v =sqrt((2Ve) / ( m )