Understanding the Formula

Kinetic energy (KE) is the energy of motion. The formula for kinetic energy is:

KE = (1/2) * m * v²

Where:

* KE is kinetic energy (measured in Joules)

* m is mass (measured in kilograms)

* v is velocity (measured in meters per second)

Solving for Velocity

To find velocity (v), we need to rearrange the formula:

1. Multiply both sides by 2: 2 * KE = m * v²

2. Divide both sides by mass (m): (2 * KE) / m = v²

3. Take the square root of both sides: √((2 * KE) / m) = v

Therefore, the formula to calculate velocity from kinetic energy is:

v = √((2 * KE) / m)

Example:

Let's say an object has a kinetic energy of 100 Joules and a mass of 5 kilograms.

1. Plug the values into the formula: v = √((2 * 100 J) / 5 kg)

2. Simplify: v = √(40 J/kg)

3. Calculate the square root: v ≈ 6.32 m/s

Important Notes:

* Units: Make sure all units are consistent (e.g., kilograms for mass, Joules for energy, and meters per second for velocity).

* Direction: This formula gives you the magnitude of velocity (speed). To find the full velocity vector, you'd need to know the direction of motion.