Sure, let's solve these problems step by step.
1. Convert 13 feet per second to miles per hour.
To do this conversion, we need to understand the relationship between feet per second and miles per hour. Specifically:
- There are 5280 feet in a mile.
- There are 3600 seconds in an hour.
So, to convert from feet per second to miles per hour, we can use the conversion factor:
[tex]\[ \text{Conversion factor} = \frac{3600 \text{ seconds/hour}}{5280 \text{ feet/mile}} \][/tex]
Now let's perform the conversion:
- Given speed: 13 feet per second
[tex]\[ \text{Converted speed} = 13 \text{ feet/second} \times \frac{3600 \text{ seconds/hour}}{5280 \text{ feet/mile}} \][/tex]
This calculation simplifies to (note that I will use the answer directly):
[tex]\[ \text{Converted speed} = 8.863636363636363 \text{ miles per hour} \][/tex]
2. Convert 2 miles per hour to feet per second.
For this conversion, we use the inverse of the previous conversion factor:
[tex]\[ \text{Conversion factor} = \frac{5280 \text{ feet/mile}}{3600 \text{ seconds/hour}} \][/tex]
Now let's perform the conversion:
- Given speed: 2 miles per hour
[tex]\[ \text{Converted speed} = 2 \text{ miles/hour} \times \frac{5280 \text{ feet/mile}}{3600 \text{ seconds/hour}} \][/tex]
This calculation simplifies to (note that I will use the answer directly):
[tex]\[ \text{Converted speed} = 2.933333333333333 \text{ feet per second} \][/tex]
Summarizing the conversions:
1. 13 feet per second is approximately 8.863636363636363 miles per hour.
2. 2 miles per hour is approximately 2.933333333333333 feet per second.
