To calculate the momentum of the billiard ball, we need to first determine its velocity.
Velocity (\(v\)) can be calculated using the formula: \[ v = \frac{\text{distance}}{\text{time}} \]
Given:
- Distance = 1.5 m
- Time = 0.5 s
Substituting the values: \[ v = \frac{1.5 , \text{m}}{0.5 , \text{s}} = 3 , \text{m/s} \]
Now, momentum (\(p\)) is calculated using the formula: \[ p = m \cdot v \] where \(m\) is the mass of the ball.
Given the mass of the billiard ball:
- Mass (\(m\)) = 0.180 kg
Now substituting the values: \[ p = 0.180 , \text{kg} \cdot 3 , \text{m/s} = 0.54 , \text{kg} \cdot \text{m/s} \]
Therefore, the momentum of the ball is \(0.54 , \text{kg} \cdot \text{m/s}\).
The correct answer is: C. 0.54 kg • m/s