To determine the velocity of the skateboarder, we can use the formula for momentum:
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
Rearranging this formula to solve for velocity gives us:
[tex]\[ \text{velocity} = \frac{\text{momentum}}{\text{mass}} \][/tex]
Given:
- Momentum ([tex]\( p \)[/tex]) = 100 kg·m/s
- Mass ([tex]\( m \)[/tex]) = 15 kg
We can plug these values into the formula:
[tex]\[ \text{velocity} = \frac{100 \, \text{kg·m/s}}{15 \, \text{kg}} \][/tex]
[tex]\[ \text{velocity} = \frac{100}{15} \][/tex]
[tex]\[ \text{velocity} \approx 6.6667 \, \text{m/s} \][/tex]
Next, we round the calculated velocity to the nearest hundredth:
[tex]\[ \text{velocity} \approx 6.67 \, \text{m/s} \][/tex]
So, the correct answer is:
C) [tex]\(6.67 \, \text{m/s}\)[/tex]
