Momentum is calculated using the formula:
\[ \text{Momentum} = \text{mass} \times \text{velocity} \]
First, we find the momentum of the basketball:
\[ \text{Momentum}_{\text{basketball}} = 1, \text{kg} \times 15, \text{m/s} = 15, \text{kg m/s} \]
To find the velocity of the bowling ball that would give it the same momentum, we can set the momentum of the bowling ball equal to the momentum of the basketball:
\[ \text{Momentum}_{\text{bowling ball}} = \text{mass} \times \text{velocity} = 5, \text{kg} \times v \]
Setting the two momenta equal:
\[ 15, \text{kg m/s} = 5, \text{kg} \times v \]
Now, we solve for \(v\):
\[ v = \frac{15, \text{kg m/s}}{5, \text{kg}} = 3, \text{m/s} \]
Thus, the bowling ball would need to travel at 3 m/s to have the same momentum as the basketball.
So, the answer is:
3 m/s
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