To determine the velocity of a car that traveled a total distance of 75 kilometers north in 1.5 hours, we can use the formula for velocity. Velocity is defined as the displacement (distance moved in a specific direction) divided by the time taken to cover that distance.
Let's break down the problem step-by-step:
1. Identify the given values:
- Distance traveled ([tex]\(d\)[/tex]): 75 kilometers
- Time taken ([tex]\(t\)[/tex]): 1.5 hours
2. Recall the formula for velocity ([tex]\(v\)[/tex]):
[tex]\[
v = \frac{d}{t}
\][/tex]
3. Substitute the given values into the formula:
[tex]\[
v = \frac{75 \text{ km}}{1.5 \text{ hours}}
\][/tex]
4. Perform the division:
[tex]\[
v = 50 \text{ km/h}
\][/tex]
So, the velocity of the car is [tex]\( 50 \text{ km/h} \)[/tex] toward the north.
