To find the velocity of the ball, we can use the formula for momentum, which is given by
\[ \text{momentum} = \text{mass} \times \text{velocity} \]
We can rearrange this formula to solve for velocity:
\[ \text{velocity} = \frac{\text{momentum}}{\text{mass}} \]
Given:
- Mass (\(m\)) = 15.5 kg
- Momentum (\(p\)) = 40.25 kg⋅m/s
Now, substituting the values into the equation:
\[ \text{velocity} = \frac{40.25 , \text{kg⋅m/s}}{15.5 , \text{kg}} \]
Calculating this gives:
\[ \text{velocity} = \frac{40.25}{15.5} \approx 2.5974 , \text{m/s} \]
Thus, the velocity of the ball is approximately \(2.60 , \text{m/s}\).