If you are moving at 45 miles per hour determine your speed in miles per second. 1 inch=2.54 cm and 1 mile=5280 ft. You might have to use scientific notation to Clarify significant figures

To determine your speed in miles per second, we'll start by converting the speed from miles per hour to miles per second.

### Conversion Steps

1. **Convert hours to seconds:**

   There are 60 minutes in an hour and 60 seconds in a minute, so:

   \[
   1 \text{ hour} = 60 \times 60 = 3600 \text{ seconds}
   \]

2. **Convert 45 miles per hour to miles per second:**

   \[
   45 \text{ miles per hour} \times \frac{1 \text{ hour}}{3600 \text{ seconds}} = \frac{45}{3600} \text{ miles per second}
   \]

   Simplifying the fraction:

   \[
   \frac{45}{3600} = 0.0125 \text{ miles per second}
   \]

### Significant Figures and Scientific Notation

The initial value of 45 miles per hour has 2 significant figures, so our final answer should be presented with 2 significant figures as well.

In scientific notation:

\[
0.0125 \text{ miles per second} = 1.3 \times 10^{-2} \text{ miles per second}
\]

Thus, 45 miles per hour is approximately **1.3 × 10⁻² miles per second**.

Would you like more details or have any questions?

Here are 5 related questions:
1. How would you convert 60 miles per hour to meters per second?
2. What is the conversion factor between feet per second and miles per hour?
3. If you're traveling at 30 miles per hour, what is your speed in miles per second?
4. How many feet per second is equivalent to 1 mile per hour?
5. How does the concept of significant figures apply to speed conversions?

**Tip:** When converting units, always keep track of significant figures to ensure the accuracy of your results.

Learn how to convert 45 miles per hour to miles per second using unit conversion and scientific notation. This problem explains the steps involved in converting units and maintaining significant figures. Suitable for Grades 7-9.

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