A car is traveling at a velocity of $58\frac{m}{s}$. What is this velocity in $miles$ per $hour$ ($mph$)?

• A. $129.7mph$
• B. $36.0mph$
• C. $58.0mph$
• D. $93.4mph$

Answer: (A)

Verified step by step guidance

1. Identify the given velocity in meters per second (m/s), which is 58 m/s in this problem.
2. Recall the conversion factors needed: 1 mile = 1609 meters and 1 hour = 3600 seconds.
3. Convert the velocity from meters per second to miles per second by dividing by 1609 (meters per mile): \(\frac{58}{1609}\) miles per second.
4. Convert miles per second to miles per hour by multiplying by the number of seconds in an hour (3600): \(\frac{58}{1609} \times 3600\) miles per hour.
5. Simplify the expression to find the velocity in miles per hour (mph). This will give you the velocity in mph without calculating the exact number.