Question

the miles cancel into meters and the hours cancel into minutes then seconds. this gives us our answer in meters per second. multiplying 22 times 1609 and dividing by 60 twice will give a numerical answer of 9.832777778. since there were only 2 significant figures given in the problem for the 22 miles per hour, we can only report 2 figures in our answer. therefore the answer is:
9.8\frac{m}{s}

Explanation:

Step1: Analyze the conversion process

We need to convert 22 miles per hour to meters per second. First, recall that 1 mile = 1609 meters and 1 hour = 60 minutes = 60×60 seconds.
The formula for the conversion is: \(v (m/s)=\frac{22\ miles/hour\times1609\ meters/mile}{60\ minutes/hour\times60\ seconds/minute}\)

Step2: Calculate the numerator

Multiply 22 by 1609: \(22\times1609 = 35398\)

Step3: Calculate the denominator

Multiply 60 by 60: \(60\times60=3600\)

Step4: Divide numerator by denominator

\(\frac{35398}{3600}\approx9.832777778\)

Step5: Apply significant figures

The given value 22 has 2 significant figures, so we round 9.832777778 to 2 significant figures.

Answer:

\(9.8\ m/s\)