Convert 153 feet per second to miles per hour
The correct answer and explanation is:
To convert 153 feet per second (ft/s) to miles per hour (mph), the following steps should be followed:
- Convert feet to miles: There are 5280 feet in a mile, so to convert feet to miles, divide the number of feet by 5280. 153 ft/s÷5280 ft/mile=0.028977 miles per second153 \, \text{ft/s} \div 5280 \, \text{ft/mile} = 0.028977 \, \text{miles per second}
- Convert seconds to hours: There are 3600 seconds in an hour, so to convert seconds to hours, multiply the result from the first step by 3600. 0.028977 miles/second×3600 seconds/hour=104.39 miles per hour0.028977 \, \text{miles/second} \times 3600 \, \text{seconds/hour} = 104.39 \, \text{miles per hour}
Thus, 153 feet per second is approximately 104.39 miles per hour.
This conversion is based on two basic unit conversions: feet to miles and seconds to hours. First, converting feet to miles allows you to handle the larger units of distance (miles). Then, converting seconds to hours scales the time unit to match miles per hour, the standard speed unit in the United States and many other countries. This method ensures that both the distance and time units are compatible when calculating speed.
In summary, the correct answer to the conversion of 153 feet per second to miles per hour is 104.39 mph. The key steps involve simple division and multiplication, making the conversion easy to apply in any situation involving speed.