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use the conversion 8km/h = 5 mph to convert 28m/s into mph

Question

use the conversion 8km/h = 5 mph to convert 28m/s into mph

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Solution

Sure, here are the steps to convert 28 m/s into mph using the conversion 8 km/h = 5 mph:

  1. First, we need to convert meters per second (m/s) to kilometers per hour (km/h). We know that 1 km = 1000 m and 1 hour = 3600 seconds. So, 1 m/s = 1 m/(1 s) = (1 m/1 s) * (1 km/1000 m) * (3600 s/1 hour) = 3.6 km/h.

  2. Therefore, 28 m/s = 28 * 3.6 km/h = 100.8 km/h.

  3. Now, we can use the conversion 8 km/h = 5 mph to convert 100.8 km/h into mph. We set up a proportion: (8 km/h)/(5 mph) = (100.8 km/h)/(x mph).

  4. Solving for x gives us x = (5 mph * 100.8 km/h) / 8 km/h = 63 mph.

So, 28 m/s is approximately 63 mph.

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