Question

How do you convert \[95mph\] to meters per second?

Answer 1

Hint: Converting from miles per hour or mph to meters per second or \[\left( {m/s} \right)\] is quite easy. To understand this let’s look at an example: What would \[100\] miles per hour be in the unit of meters per second. To figure this out we have to make use of a conversion factor.

Complete step by step answer:
‘Miles per hour’ (mph or mi/h) is a customary British Imperial and U.S. speed unit that represents the number of miles traveled in one hour.
The ‘meter per second’ is a SI dependent unit of both velocity (a scalar quantity) and velocity (vector
quantity (direction and magnitude) respectively), equal to the velocity of the body traveling the
the distance of one meter per second.
 To solve the problem we will go through a series of three steps
 Step 1: Convert the distance units.
 We need to convert from miles to meters by using the following conversion factor
\[1mile = 1609.34meters\]
From this, we can find how many meters there are in 95 miles according to the question,
$(95miles) \times (1609.34meters/mile) = 152887.3meters$
So we now know that \[95mph\]are the same as that of \[152887.3mph\].
Step 2: Converting the units of time from hours to seconds.
You probably know the conversion factor for hours to seconds.
$1hour = 3600\sec onds.$
So using this,$152887.3meters/hour = \dfrac{{152887.3meters}}{{3600seconds}}$
Step 3: Divide the numerator by the denominator to get an answer in meters per second.
By dividing the numerator and the denominator we get the answer as,
\[\dfrac{{152887.3}}{{3600}} = 42.47\]
Hence converting \[95mph\] to meters per second will give us the final answer as \[42.47mph\](approximately).

Note: In the United States, a mile per hour is a measurement of speed widely used. Exactly 1.609344 kilometers per hour is equivalent. A meter per second is a speed unit. One meter per second, or around \[237mph\] is precisely \[3.6\;Km/hr\](kilometers per hour).