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Use [tex]$1 \text{ mi} = 5280 \text{ ft}$[/tex] and [tex]$1 \text{ h} = 3600 \text{ s}$[/tex] to convert 60 mph to units of ft/s. Express your answer in feet per second.

Answer :

Final Answer:

To convert 60 mph to feet per second (ft/s), we multiply by 1.467. So, 60 mph is approximately 88 ft/s. This conversion is valuable for understanding speed in different units and is essential in physics and engineering.

Explanation;

To convert 60 mph to units of ft/s, we first need to consider that 1 mile is equal to 5280 feet and 1 hour is equal to 3600 seconds. In the conversion process, we can calculate it as follows:

Convert miles to feet:

60 miles x 5280 feet/mile = 316,800 feet

Convert hours to seconds:

1 hour x 3600 seconds/hour = 3600 seconds

Calculate the speed in feet per second:

Speed (ft/s) = Distance (feet) / Time (seconds)

Speed = 316,800 feet / 3600 seconds = 88 ft/s.

So, 60 mph is equivalent to 88 feet per second. This conversion helps us understand the speed in a more relatable unit for everyday distances and time intervals. It's a crucial conversion in physics and engineering when dealing with various measurements, especially in the context of motion and speed.

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