A team of zoologists collected data on the velocity of falcons using a speedometer . The

Question

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

Answer 1

To find out how many hours it would take for the falcon to fly 52,800 feet at a speed of 68 mph, we can start by converting both distances to the same unit.

1. Convert feet to miles:

   • There are 5,280 feet in a mile. Therefore, to convert 52,800 feet to miles: \[ \text{Miles} = \frac{52,800 \text{ feet}}{5280 \text{ feet/mile}} = 10 \text{ miles} \]

2. Use the speed:

   • The falcon flies at a speed of 68 mph. To calculate the time it takes to travel 10 miles at that speed, we use the formula: \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{10 \text{ miles}}{68 \text{ mph}} \approx 0.147 \text{ hours} \]

Since we have converted to miles and are using speed in miles per hour (mph), the units match appropriately for the calculation.

In verifying the units, since we are interested in time, we would focus on the time measurement used in relation to the speed and distance.

Thus, in this context, the answer corresponds to:

Option #3: hours.