To determine the velocity of an object given its mass and momentum, we can use the formula for momentum, which is:
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
We need to solve for the velocity (v). By rearranging the formula, we get:
[tex]\[ \text{velocity} = \frac{\text{momentum}}{\text{mass}} \][/tex]
Given:
- The mass of the object is [tex]\( 6 \, \text{kg} \)[/tex]
- The momentum of the object is [tex]\( -12 \, \text{kgm/s} \)[/tex]
Substitute these values into the formula:
[tex]\[ \text{velocity} = \frac{-12 \, \text{kgm/s}}{6 \, \text{kg}} \][/tex]
[tex]\[ \text{velocity} = -2 \, \text{m/s} \][/tex]
Therefore, the velocity of the object is [tex]\(-2 \, \text{m/s}\)[/tex].
The correct answer is:
D. -2 m/s
