Question

Round to the nearest tenth 10 miles per hour ingto feet per second. A. 14.7 ft/s

B. 14.0 ft/s
C. 14.7 ft/s
D. 14.0 ft/s

Answer 1

To convert 10 miles per hour to feet per second and round to the nearest tenth, multiply by 5280 to convert miles to feet, then divide by 3600 to convert hours to seconds, resulting in 14.6667 ft/s, which rounds to 14.7 ft/s (option C).

Step-by-step explanation:

To round to the nearest tenth 10 miles per hour to feet per second, you can use the conversion factor that 1 mile is equivalent to 5280 feet and 1 hour is equivalent to 3600 seconds (60 minutes x 60 seconds). Hence, to convert 10 mph to feet per second (ft/s), follow these steps:

1. Convert the speed from miles per hour to feet per hour by multiplying by 5280 feet per mile: 10 mph * 5280 ft/mi = 52800 ft/hr.
2. Convert the speed from feet per hour to feet per second by dividing by 3600 seconds per hour: 52800 ft/hr / 3600 s/hr = 14.6667 ft/s.
3. Round the result to the nearest tenth: 14.6667 ft/s rounded to the nearest tenth is 14.7 ft/s.

Therefore, the correct answer is 14.7 ft/s which corresponds to option C.