Answer:
[tex]79\frac{1}{3}\ \frac{feet}{second}[/tex]
Step-by-step explanation:
we know that
[tex]1\ hour=3,600\ seconds[/tex]
To convert hour to seconds multiply by 3,600
[tex]1\ mile=5,280\ feet[/tex]
To convert miles to feet multiply by 5,280
In this problem we have
[tex]50\ \frac{miles}{hour}[/tex]
Convert to ft/sec
so
[tex]50\ \frac{miles}{hour}=50(\frac{5,280}{3,600})=\frac{264,000}{3,600}\ \frac{feet}{second}[/tex]
Simplify
[tex]\frac{220}{3}\ \frac{feet}{second}[/tex]
Convert to mixed number
[tex]\frac{220}{3}\ \frac{feet}{second}=\frac{219}{3}+\frac{1}{3}=79\frac{1}{3}\ \frac{feet}{second}[/tex]