Final answer:
The centripetal acceleration of the ball is 12 m/s².
Step-by-step explanation:
The centripetal acceleration of an object moving in a circular path can be calculated using the formula:
a = v² / r
Where:
a is the centripetal acceleration
v is the velocity of the object
r is the radius of the circular path
In this case, the ball is moving at a velocity of 6 m/s and the radius of the circular path is 3 m. Plugging these values into the formula, we get:
a = (6 m/s)² / 3 m = 36 m²/s² / 3 m = 12 m/s²
Therefore, the centripetal acceleration of the ball is 12 m/s².