The peregrine falcon can reach speeds of up to 200 miles per hour while diving to catch prey , making it the fastest animal on the planet when in a drive.
What is a peregrine falcon's maximum speed while diving to catch prey , in feet per second ? (Round your answer to the nearest whole number. 1 mile = 5280 feet )

Explanation

To find the maximum speed of a peregrine falcon while diving, we need to convert its speed from miles per hour to feet per second. Here’s how to do it step by step:

### Step 1: Understand the given speed
The maximum speed of the peregrine falcon is given as 200 miles per hour.

### Step 2: Convert hours to seconds
Since we want to find the speed in feet per second, we first need to convert hours into seconds.

1 hour = 60 minutes
1 minute = 60 seconds
Therefore,
1 hour = 60 minutes × 60 seconds/minute = 3600 seconds.

### Step 3: Calculate the speed in miles per second
Now, we can convert the speed from miles per hour to miles per second.

Speed in miles per second = (200 miles/hour) / (3600 seconds/hour)
= 200 / 3600 miles/second.

### Step 4: Simplify the fraction
Now, we simplify the fraction:

200 / 3600 = 1 / 18 miles/second.

### Step 5: Convert miles to feet
Next, we need to convert the speed from miles per second to feet per second. We know that 1 mile = 5280 feet.

Speed in feet per second = (1/18 miles/second) × (5280 feet/mile).

### Step 6: Calculate the speed in feet per second
Now we can calculate:

Speed in feet per second = (1/18) × 5280
= 5280 / 18 feet/second.

### Step 7: Perform the division
Now we perform the division:

5280 ÷ 18 = 293.33 feet/second.

### Step 8: Round to the nearest whole number
Finally, we round 293.33 to the nearest whole number:

Speed ≈ 293 feet/second.

### Final Answer
The maximum speed of the peregrine falcon while diving to catch prey is approximately **293 feet per second**.

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