To determine Amy's momentum while she is riding the skateboard, we will use the formula for momentum.
Momentum (\( p \)) can be calculated using the formula:
[tex]\[ p = m \times v \][/tex]
where:
- \( m \) is the mass of the object (in kilograms)
- \( v \) is the velocity of the object (in meters per second)
Given:
- Amy's mass (\( m \)) is \( 30 \, \text{kg} \).
- Her velocity (\( v \)) is \( 5 \, \text{m/s} \).
Substituting the given values into the formula:
[tex]\[ p = 30 \, \text{kg} \times 5 \, \text{m/s} \][/tex]
[tex]\[ p = 150 \, \text{kg} \cdot \text{m/s} \][/tex]
Therefore, Amy's momentum is \( 150 \, \text{kg} \cdot \text{m/s} \).
The correct answer is:
[tex]\[ 150 \, \text{kg} \cdot \text{m/s} \][/tex]
