To determine the velocity of a skateboarder given their momentum and mass, we can use the formula for momentum:
[tex]\[ \text{Momentum} = \text{Mass} \times \text{Velocity} \][/tex]
Given:
- Momentum ([tex]\( p \)[/tex]) = 100 kg·m/s
- Mass ([tex]\( m \)[/tex]) = 15 kg
We need to find the velocity ([tex]\( v \)[/tex]). Rearrange the momentum formula to solve for velocity:
[tex]\[ v = \frac{p}{m} \][/tex]
Substitute in the given values:
[tex]\[ v = \frac{100 \, \text{kg} \cdot \text{m/s}}{15 \, \text{kg}} \][/tex]
Divide to obtain the velocity:
[tex]\[ v = \frac{100}{15} = 6.67 \, \text{m/s} \][/tex]
Rounding to the nearest hundredth, the calculated velocity is 6.67 m/s.
Thus, the best answer is:
D. [tex]$6.67 \, \text{m/s}$[/tex]
