To find out how many hours it would take for the falcon to fly a distance of 52,800 feet at a constant speed of 68 mph, you can follow these steps:
Step 1: Convert Distance to Miles
First, you need to convert the distance from feet to miles, because the speed is given in miles per hour (mph). There are 5,280 feet in a mile.
\[ \text{Distance in miles} = \frac{\text{Distance in feet}}{\text{Feet per mile}} = \frac{52,800 \text{ feet}}{5,280 \text{ feet/mile}} = 10 \text{ miles} \]
Step 2: Use the Formula for Time
The formula for time when you know distance and speed is:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]
Step 3: Plug in the Values
Now, substitute the distance (10 miles) and the speed (68 mph) into the formula:
\[ \text{Time} = \frac{10 \text{ miles}}{68 \text{ mph}} \]
Step 4: Calculate the Time
Perform the division:
\[ \text{Time} \approx 0.147 \text{ hours} \]
Step 5: Convert Time to Minutes (if needed)
If you want the time in minutes, you can convert hours to minutes by multiplying by 60:
\[ 0.147 \text{ hours} \times 60 \text{ minutes/hour} \approx 8.82 \text{ minutes} \]
Conclusion
It would take the falcon approximately 0.147 hours (or about 8.82 minutes) to fly 52,800 feet at a constant speed of 68 mph.
If you were asked to verify the rearrangement of the formula, you would ensure that you always had the correct relationship and units, showing consistency in your calculations leading from speed and distance to time.
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