Final answer:
The velocity of the ball is 566.33 m/s south.
Step-by-step explanation:
The momentum of an object is given by the product of its mass and velocity. In this case, the ball has a momentum of 3.87 kg x m/s south and a mass of 0.00684 kg. To find the velocity of the ball, we can rearrange the momentum equation: momentum = mass x velocity. So, velocity = momentum / mass. Plugging in the values, we get:
Velocity = (3.87 kg x m/s south) / 0.00684 kg = 566.33 m/s south.