Understanding the Concepts

* Kinetic Energy: The energy an object possesses due to its motion. It's calculated using the formula: KE = (1/2)mv²

* KE = Kinetic energy (in Joules, J)

* m = Mass (in kilograms, kg)

* v = Velocity (in meters per second, m/s)

Calculations

1. Identify the knowns:

* KE = 160 J

* m = 2.0 kg

2. Rearrange the kinetic energy formula to solve for velocity (v):

* KE = (1/2)mv²

* 2KE = mv²

* v² = 2KE/m

* v = √(2KE/m)

3. Plug in the values and solve for v:

* v = √(2 * 160 J / 2.0 kg)

* v = √160 m²/s²

* v = 12.65 m/s (approximately)

Answer: The basketball must be thrown at approximately 12.65 meters per second to have a kinetic energy of 160 J.