Question

if we change 35 mph to m/s, it converts to:
show your work:

Explanation:

Step1: Recall conversion factors

We know that \( 1\) mile \( = 1609.34\) meters and \( 1\) hour \( = 3600\) seconds.

Step2: Convert miles to meters and hours to seconds

To convert \( 35\) mph to m/s, we first convert miles to meters and hours to seconds. So we multiply \( 35\) by the conversion factor for miles to meters (\( 1609.34\) m/mi) and divide by the conversion factor for hours to seconds (\( 3600\) s/h). The formula is: \( 35\space \text{mph} = 35\times\frac{1609.34\space \text{m}}{1\space \text{mi}}\times\frac{1\space \text{h}}{3600\space \text{s}}\)

Step3: Calculate the value

First, calculate \( 35\times1609.34 = 56326.9\). Then divide by \( 3600\): \(\frac{56326.9}{3600}\approx15.646\)

Answer:

\( 35\) mph is approximately \( 15.65\) m/s (or more precisely around \( 15.646\) m/s)