1. Understand the Formula:

The kinetic energy (KE) of an object is given by the following formula:

KE = (1/2) * m * v²

Where:

* KE = Kinetic energy (in joules)

* m = Mass (in kilograms)

* v = Velocity (in meters per second)

2. Rearrange the Formula to Solve for Velocity:

We need to find the velocity (v), so let's rearrange the formula:

v² = (2 * KE) / m

v = √((2 * KE) / m)

3. Plug in the Values:

* KE = 50 joules

* m = 1 kilogram

v = √((2 * 50 joules) / 1 kilogram)

v = √(100)

v = 10 meters per second

Therefore, the velocity of the ball is 10 meters per second.