The kinetic energy, E . of an object is related to its mass ,m, and its velocity v, by the following formula: E=(1)/(2)mv^2 Make v the subject of this formula.

This problem demands the reader to rearrange the formula for kinetic energy in terms of the velocity variable, . Using algebra, we'll need to isolate on one side of the equation. Here are the steps:1. From the original equation , we start by isolating by multiplying both sides of the equation by . We will get .2. To isolate , we should then take the square root of both sides. It's important to note however, that taking the square root of a quantity actually gives two solutions, positive and negative. But in the physical context that this problem lies in, we ignore the negative solution because velocity can't be negative in this sense.