Question

Use dimensional analysis to change 4 miles per hour to feet per second. Please explain!

Answer 1

Answer: 5.87 feet per second

Explanation:

Use the following conversions:

5280 feet = 1 mile, 1 hour = 60 minutes, 1 minute = 60 seconds

`(4\ miles)/(1\ hour)* (5280\ feet)/(1\ mile)* (1\ hour)/(60\ minutes)* (1\ minute)/(60\ seconds)\quad =(21,120\ feet)/(3600\ seconds)\\\\\\.\qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad =(5.87\ feet)/(1\ second)`