To determine the magnitude of the velocity of the car, we can utilize the relationship between momentum, mass, and velocity. The formula for momentum [tex]\( p \)[/tex] is given by:
[tex]\[ p = m \times v \][/tex]
where [tex]\( p \)[/tex] is the momentum, [tex]\( m \)[/tex] is the mass, and [tex]\( v \)[/tex] is the velocity.
Given:
- Momentum [tex]\( p = 36,000 \ \frac{\text{kg}\cdot\text{km}}{\text{hr}} \)[/tex]
- Mass [tex]\( m = 1,500 \ \text{kg} \)[/tex]
We need to find the velocity ([tex]\( v \)[/tex]) of the car. Rearranging the formula to solve for [tex]\( v \)[/tex]:
[tex]\[ v = \frac{p}{m} \][/tex]
Substitute the known values into the equation:
[tex]\[ v = \frac{36,000 \ \frac{\text{kg}\cdot\text{km}}{\text{hr}}}{1,500 \ \text{kg}} \][/tex]
[tex]\[ v = \frac{36,000}{1,500} \][/tex]
[tex]\[ v = 24 \ \frac{\text{km}}{\text{hr}} \][/tex]
Thus, the magnitude of the velocity of the car is:
[tex]\[ \boxed{24 \ \text{km/hr}} \][/tex]
