Question

A team of zoologists collected data on the velocity of falcons using a speedometer. The speedometer measured that a falcon was flying at 68 mph. The zoologists are interested in finding out how many hours it would take for the falcon to fly 52,800 feet if it continues to fly at a constant speed of 68 mph. In order to use units to verify your rearrangement of the formula, what process needs to be done? Enter the value that corresponds to your answer.

Option #1: miles

Option #2: yards

Option #3: hours

(1 point)
I would need to convert the units of distance from feet to Option #.

1 answer

To find out how many hours it would take for the falcon to fly 52,800 feet at a constant speed of 68 mph, you need to work with compatible units for distance. Since the falcon's speed is given in miles per hour (mph), it's easier to convert 52,800 feet into miles.

1 mile = 5,280 feet.

To convert 52,800 feet into miles, you would use the following calculation: \[ 52,800 \text{ feet} \div 5,280 \text{ feet/mile} = 10 \text{ miles} \]

After converting 52,800 feet to miles, you can then use the formula to find the time it takes to travel that distance at the given speed.

The formula for time is: \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]

Using the distance in miles: \[ \text{Time} = \frac{10 \text{ miles}}{68 \text{ mph}} \]

Now, because the speed is in miles per hour, you should convert feet to miles in order to verify the units correctly.

So the answer is: I would need to convert the units of distance from feet to Option #1: miles.