Final answer:
The velocity of the ball is approximately 566.52 m/s.
Step-by-step explanation:
To calculate the velocity of the ball, we can use the equation:
momentum (p) = mass (m) x velocity (v)
Given that the momentum of the ball is 3.87 kg x m/s and the mass of the ball is 0.00684 kg, we can solve for the velocity:
3.87 kg x m/s = 0.00684 kg x v
v = 3.87 kg x m/s / 0.00684 kg
v ≈ 566.52 m/s
Therefore, the velocity of the ball is approximately 566.52 m/s when it has a momentum of 3.87 kg x m/s South.