A car is traveling at a speed of 61 feet per second.
(a) What is its speed in kilometers per hour?

To convert the speed of the car from feet per second (ft/s) to kilometers per hour (km/h), we will use the following conversion factors:

1. **Feet to Meters**: \(1 \, \text{foot} = 0.3048 \, \text{meters}\)
2. **Meters to Kilometers**: \(1000 \, \text{meters} = 1 \, \text{kilometer}\)
3. **Seconds to Hours**: \(3600 \, \text{seconds} = 1 \, \text{hour}\)

Let's compute this step-by-step:

1. **Convert feet per second to meters per second**:

   \[
   61 \, \text{ft/s} \times 0.3048 \, \frac{\text{m}}{\text{ft}}
   \]

2. **Convert meters per second to kilometers per hour**:

   \[
   \left(61 \times 0.3048\right) \, \text{m/s} \times \frac{3600 \, \text{s}}{1000 \, \text{m}}
   \]

Let's calculate the final value.The car's speed is approximately \( 66.93 \) kilometers per hour.

Would you like more details or have any questions? Here are some related questions:

1. How can you convert other units of speed, such as miles per hour, to kilometers per hour?
2. What is the car's speed in meters per second?
3. How would you calculate the time it takes for the car to travel a certain distance at this speed?
4. What are the common units of speed, and how are they interconverted?
5. How does the speed conversion differ when dealing with nautical miles?

**Tip:** Always double-check unit conversions by breaking them down into smaller steps to avoid errors.

A car is traveling at a speed of 61 feet per second. (a) What is its speed in kilometers per hour?

Learn how to convert a car's speed from 61 feet per second to kilometers per hour using basic unit conversion principles. This problem covers key concepts like feet to meters, meters to kilometers, and seconds to hours. Suitable for students in Grades 6-8.

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