Question

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

Answer 1

Answer:  5.87 feet per second

Step-by-step explanation:

Use the following conversions:

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

$\dfrac{4\ miles}{1\ hour}\times \dfrac{5280\ feet}{1\ mile}\times \dfrac{1\ hour}{60\ minutes}\times \dfrac{1\ minute}{60\ seconds}\quad =\dfrac{21,120\ feet}{3600\ seconds}\\\\\\.\qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad =\dfrac{5.87\ feet}{1\ second}$