Answer: The speed of the car in miles per hour is 74.25 miles/hr.
Explanation:
We are given that car is travelling with a speed of 33 m/s and we need to convert it into miles/hr.
For that we use the conversions:
1 kilometer = 1000 meters
1 mile = 1.6 kilometer = 1600 meters
[tex]1m=\frac{1}{1600}km=\frac{1}{1600}mile[/tex]
1 hour = 3600 seconds
[tex]1s=\frac{1}{3600}hr[/tex]
Now, converting the speed of car from m/s to miles/hr, we get:
[tex]\Rightarrow (\frac{33m}{s})(\frac{1mile}{1600m})=\frac{33miles}{1600s}\\\\\Rightarrow (\frac{33miles}{1600s})(\frac{3600s}{1hr})=\frac{(33\times 3600)miles}{1600hr}\\\\\Rightarrow 74.25miles/hr[/tex]
Hence, the speed of the car in miles per hour is 74.25 miles/hr.
