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Ann [662]
2 years ago
10

Convert the rate 25 miles per hour to feet per second

Mathematics
2 answers:
IRINA_888 [86]2 years ago
6 0

Answer:

36.67 feet / second

<h3><u>Step-by-step explanation:</u></h3>

We will be using Dimensional Analysis to solve this question

We are given the rate: 25 miles / hour

<u>Converting the Miles to feet:</u>

We know that 1 mile = 5280 feet

So, we can say that \frac{5280 feet}{1 mile} = 1

Multiplying the Given rate by 1:

\frac{25 miles}{Hour} * 1

(<em>multiplying by 1 will not change the actual value of the expression)</em>

\frac{25 miles}{Hour} * \frac{5280 feet}{1 mile}                                                          <em>(since 5280 feet/ 1 mile = 1)</em>

<em>here, the 'mile' will cancel out and we will get:</em>

\frac{25 * 5280 feet }{Hour }  

\frac{132000 feet}{Hour}

<u>Converting the Hours to Seconds:</u>

We know that 1 hour = 3600 seconds

So, we can say that:

\frac{1 Hour}{3600 seconds} = 1

Multiplying the Rate by 1:

\frac{132000 feet}{1 Hour} * 1

(<em>multiplying by 1 will not change the actual value of the expression)</em>

<em />\frac{132000 feet}{1 Hour} * \frac{1 Hour}{3600 seconds}<em>                                   (since 1 hour / 3600 seconds = 1)</em>

Here, the 'Hour' in the numerator and the denominator will cancel out to make:

\frac{132000 feet}{3600 seconds}

which can be simplified to:

\frac{36.67 feet}{second}

Therefore, 25 mph can also be written as 36.67 feet per second

Shtirlitz [24]2 years ago
4 0
Mile Per Hour to Foot Per Second Conversion Table
Miles Per Hour Feet Per Second
22 mph 32.27 ft/s
23 mph 33.73 ft/s
24 mph 35.2 ft/s
25 mph 36.67 ft/s
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