Final answer:
Vince Carter's arm is 0.03 m or 3 cm long.
Step-by-step explanation:
The angular velocity of an object rotating in a circle can be calculated using the formula:ω = v / r
Where ω is the angular velocity, v is the linear velocity, and r is the radius of the circle.
In this case, Vince Carter is moving the basketball in a circle at 30 m/s with an acceleration of 1000 m/s². We are given the linear velocity, so we can calculate the radius using the formula:r = v / a
Substituting the given values, r = 30 m/s / 1000 m/s² = 0.03 m. Therefore, the length of Vince Carter's arm is 0.03 m, which is equivalent to 3 cm.