Question

A cyclist is riding at a speed of 20 miles per hour. What is the cyclist's speed in feet per second? *

Answer 1

To convert the cyclist's speed from miles per hour to feet per second, follow these steps:

1. **Convert miles to feet**: There are 5280 feet in a mile.
2. **Convert hours to seconds**: There are 3600 seconds in an hour.

Now, we can perform the conversion:

\[
\text{Speed in feet per second} = \text{Speed in miles per hour} \times \frac{5280 \text{ feet}}{1 \text{ mile}} \times \frac{1 \text{ hour}}{3600 \text{ seconds}}
\]

Plug in the value:

\[
\text{Speed in feet per second} = 20 \text{ miles per hour} \times \frac{5280 \text{ feet}}{1 \text{ mile}} \times \frac{1 \text{ hour}}{3600 \text{ seconds}}
\]

Calculating it step by step:

\[
= 20 \times \frac{5280}{3600}
\]

Now calculate \( \frac{5280}{3600} \):

\[
\frac{5280}{3600} = 1.46667 \text{ (approximately)}
\]

Now multiply this by 20:

\[
20 \times 1.46667 \approx 29.3334
\]

Thus, the cyclist's speed is approximately **29.33 feet per second**.