Chapter 6.3, Problem 50HP

To determine

Convert 10 miles per hour to meters per second.

Answer to Problem 50HP

  $\text{4}\text{.47 meters per second}$

Explanation of Solution

Given:

10 miles per hour

Formula used:

  $\begin{array}{l}1\text{mile}=\text{1609}\text{.34}\text{meters}\\ 1\text{hour}=3600\text{seconds}\end{array}$

Calculation:

10 miles per hour $=\frac{10\text{miles}}{1\text{hour}}$

  $\begin{array}{l}\Rightarrow \frac{10\times \text{1609}\text{.34}\text{meters}}{1\times 3600\text{seconds}}\left[\begin{array}{l}\because 1\text{mile}=\text{1609}\text{.34}\text{meters}\\ 1\text{hour}=3600\text{seconds}\end{array}\right]\\ \Rightarrow \frac{16093.4\text{meters}}{3600\text{seconds}}\\ \Rightarrow \text{4}\text{.47}\frac{\text{meters}}{\text{seconds}}\\ \Rightarrow \text{4}\text{.47 meters per second}\end{array}$

Conclusion:

Therefore, 10 miles per hour can be written as $\text{4}\text{.47 meters per second}\text{.}$