Understanding the Concepts

* Kinetic Energy: The energy an object possesses due to its motion. It's calculated using the formula: KE = (1/2) * m * v²

* KE = Kinetic Energy (in Joules)

* m = Mass (in kilograms)

* v = Velocity (in meters per second)

Calculations

1. Rearrange the formula to solve for velocity (v):

v = √(2 * KE / m)

2. Plug in the given values:

v = √(2 * 3000 J / 80 kg)

3. Calculate the speed:

v ≈ √(75) m/s

v ≈ 8.66 m/s

Answer: The sprinter's speed is approximately 8.66 meters per second.