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Sagot :
Answer: 19,404 feet
Your teacher may want you to delete the comma.
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Explanation:
Let's start with these facts
- 1 mile = 5280 ft
- 1 min = 60 sec
- 60 min = 3600 sec (multiply both sides by 60)
- 1 hour = 3600 sec
The main takeaways here are that 1 mile = 5280 ft and 1 hr = 3600 sec.
We'll use those two facts to then convert from mph to feet per second.
[tex]21 \text{ mph} = \frac{21 \text{ mi}}{1 \text{ hr}}*\frac{5280 \text{ ft}}{1 \text{ mi}}*\frac{1 \text{ hr}}{3600 \text{ sec}}\\\\\\21 \text{ mph} = 21*\frac{5280}{3600} \text{ ft per sec}\\\\\\21 \text{ mph} = 21*30.8 \text{ ft per sec}\\\\\\21 \text{ mph} = 646.8 \text{ ft per sec}\\\\\\[/tex]
This value is exact.
Since the bike is moving at exactly 646.8 ft per second, this means that after 30 seconds, the bike has traveled exactly 646.8*30 = 19,404 feet
I'm using the formula: distance = rate*time
Side note: 19,404 feet is exactly equal to 3.675 miles (divide by 5280 to convert from feet to miles).
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