What is the conversion for 50.0 m/s in km/h? (1 km = 1000 m) (1 hour = 3600s)

What is the conversion for 50.0 m/s in km/h? (1 km = 1000 m) (1 hour = 3600s)

13 km/h

180 km/h

90 km/h

.5 km/h

To convert 50.0 m/s to km/h, we can use the conversion factors provided:

1. Convert meters to kilometers: \( 1 \text{ km} = 1000 \text{ m} \).
2. Convert seconds to hours: \( 1 \text{ hour} = 3600 \text{ s} \).

Let's calculate it:

\[
50.0 \, \text{m/s} \times \frac{1 \, \text{km}}{1000 \, \text{m}} \times \frac{3600 \, \text{s}}{1 \, \text{hour}} = 50.0 \times \frac{3600}{1000} \, \text{km/h}
\]

\[
= 50.0 \times 3.6 \, \text{km/h} = 180.0 \, \text{km/h}
\]

So, the correct conversion is:

**180 km/h**

Would you like more details or have any questions?

Here are 5 related questions to consider:
1. How do you convert a speed from km/h to m/s?
2. What is the significance of understanding unit conversions in physics problems?
3. How does changing the units affect the interpretation of speed in different contexts?
4. What are other common unit conversions used in kinematics?
5. How would you convert 180 km/h back to m/s?

**Tip:** Always double-check your unit conversions to ensure accuracy in problem-solving.

Learn how to convert 50.0 meters per second (m/s) to kilometers per hour (km/h) with a detailed step-by-step solution using unit conversion and dimensional analysis. This problem is related to kinematics and unit conversions in physics. Suitable for students in Grades 9-12.

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