How fast is a car going 70 mph traveling in feet per second
The correct answer and explanation is:
To convert miles per hour (mph) to feet per second (ft/s), we need to use the conversion factors between miles, feet, and hours, seconds. The steps are as follows:
- Start with the speed in miles per hour (mph):
The car is going 70 mph. - Convert miles to feet:
There are 5,280 feet in a mile. 1 mile=5280 feet1 \text{ mile} = 5280 \text{ feet} - Convert hours to seconds:
There are 60 minutes in an hour and 60 seconds in a minute, so there are 3,600 seconds in an hour. 1 hour=3600 seconds1 \text{ hour} = 3600 \text{ seconds} - Set up the conversion formula:
To convert from mph to ft/s, multiply by 5,280 feet per mile and then divide by 3,600 seconds per hour: Speed in ft/s=(70 mph×5280 feet1 mile)÷3600 seconds\text{Speed in ft/s} = \left( 70 \text{ mph} \times \frac{5280 \text{ feet}}{1 \text{ mile}} \right) \div 3600 \text{ seconds} - Perform the calculation: Speed in ft/s=70×52803600=3696003600=102.67 ft/s\text{Speed in ft/s} = \frac{70 \times 5280}{3600} = \frac{369600}{3600} = 102.67 \text{ ft/s}
So, a car traveling at 70 mph is going at approximately 102.67 feet per second.
This conversion shows how speed measurements in miles per hour can be translated into feet per second, which is often more useful in contexts such as physics, engineering, or when working with more localized measurements. The ability to convert between different units of speed helps make calculations more adaptable depending on the context in which they are being applied.