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Answer :
To find the speed of a car in miles per hour (MPH) that travels 200 feet in 7 seconds, follow these steps:
1. Calculate the speed in feet per second.
First, determine how many feet the car travels per second. This is done by dividing the total distance by the time in seconds:
[tex]\[
\text{Speed in feet per second} = \frac{200 \text{ feet}}{7 \text{ seconds}} \approx 28.57 \text{ feet per second}
\][/tex]
2. Convert feet per second to miles per hour.
To convert from feet per second to miles per hour, use the following conversion factors:
- 1 mile = 5280 feet
- 1 hour = 3600 seconds
First, convert feet per second to miles per second by dividing the speed by the number of feet in a mile:
[tex]\[
\text{Speed in miles per second} = \frac{28.57 \text{ feet per second}}{5280 \text{ feet per mile}}
\][/tex]
Then, convert miles per second to miles per hour by multiplying by the number of seconds in an hour:
[tex]\[
\text{Speed in miles per hour} = \left(\frac{28.57}{5280}\right) \times 3600 \approx 19.48 \text{ MPH}
\][/tex]
Therefore, the car’s speed is approximately 28.57 feet per second or 19.48 miles per hour.
1. Calculate the speed in feet per second.
First, determine how many feet the car travels per second. This is done by dividing the total distance by the time in seconds:
[tex]\[
\text{Speed in feet per second} = \frac{200 \text{ feet}}{7 \text{ seconds}} \approx 28.57 \text{ feet per second}
\][/tex]
2. Convert feet per second to miles per hour.
To convert from feet per second to miles per hour, use the following conversion factors:
- 1 mile = 5280 feet
- 1 hour = 3600 seconds
First, convert feet per second to miles per second by dividing the speed by the number of feet in a mile:
[tex]\[
\text{Speed in miles per second} = \frac{28.57 \text{ feet per second}}{5280 \text{ feet per mile}}
\][/tex]
Then, convert miles per second to miles per hour by multiplying by the number of seconds in an hour:
[tex]\[
\text{Speed in miles per hour} = \left(\frac{28.57}{5280}\right) \times 3600 \approx 19.48 \text{ MPH}
\][/tex]
Therefore, the car’s speed is approximately 28.57 feet per second or 19.48 miles per hour.
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