If a car is traveling at \(35 \mathrm{km} / \mathrm{h}\), how far does it travel in a. one hour? b. half an hour? c. one minute?

Speed and distance are essential concepts in physics and everyday life. Speed represents how fast an object is moving, whereas distance refers to how far it has traveled. These two are related through time: Distance = Speed × Time.

If a car travels at 35 kilometers per hour (km/h), it means that every hour, the car covers 35 kilometers. This is a direct relation where speed helps us calculate distance over time intervals.

Understanding unit conversion is crucial for solving speed and distance problems accurately. In our example, we need to convert hours to minutes to find out how far the car travels in one minute. Since there are 60 minutes in one hour, we divide the speed (in km/h) by 60 to get the speed in kilometers per minute (km/min). This makes it easier to calculate distances in various time units.

The conversion formula used is:
- Speed in km/min = Speed in km/h ÷ 60

By mastering unit conversion, you can easily switch between different units and solve problems more flexibly.

Breaking down the problem into smaller, manageable steps makes it easier to solve. Let's review the steps applied in our exercise:

1. **Understand the Problem**: Identify what is given (speed of 35 km/h) and what is needed (distance for different time intervals).
2. **Calculate Distance in One Hour**: Using the speed directly since it’s already in km/h.
- Distance = Speed × Time => 35 km/h × 1 hour = 35 kilometers.
3. **Calculate Distance in Half an Hour**: Divide the speed by 2.
- Distance = 35 km/h ÷ 2 = 17.5 kilometers.
4. **Calculate Distance in One Minute**: Convert the speed to km/min by dividing by 60.
- Distance = 35 km/h ÷ 60 ≈ 0.5833 kilometers.

These steps reinforce the importance of breaking down the problem and performing calculations methodically.