Thank you for visiting In a NASCAR race cars travel at 200 mph miles per hour Which of the following is the correct setup to find the speed of. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Final answer:
To convert 200 mph to ft/s, you should multiply by 5280 (to convert miles to feet) and then divide by 3600 (to convert hours to seconds), which tells us that option 2 is correct, yielding a speed of about 293.333 ft/s.
Explanation:
To find the speed of the car in feet per second (ft/s) from miles per hour (mph), you need to use a two-step conversion process: first convert miles to feet, then hours to seconds. Since 1 mile is 5280 feet and 1 hour is 3600 seconds, option 2 is the correct setup. You multiply the speed in mph by 5280 to convert miles to feet, then divide by 3600 to convert hours to seconds. The factor 1.467 is used when converting directly from mph to ft/s but already includes both conversions (from miles to feet and from hours to seconds).
So, if a car travels at 200 mph, you would convert it by multiplying by 5280 and dividing by 3600 to get the speed in ft/s:
200 mph * 5280 ft/mile / 3600 s/hour = 293.333 ft/s
This means that the second option is the correct one. It is important to check if the number seems reasonable, which in this case it does, given the high speeds experienced during a NASCAR race.
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