A drone is flying at an altitude of 120 meters above the ground. It needs to descend to deliver a package to a specific spot 25 meters above the ground. The drone takes 8.4 seconds to make it’s descent. Interpret the quotient to describe how quickly the drone is losing altitude.

Responses

The drone's elevation changed -11.3 feet each second.

The drone's elevation changed -11.3 feet each second.

The drone's elevation changed -11.3 seconds per foot.
The drone's elevation changed -11.3 seconds per foot.

The drone's elevation changed 11.3 feet each second.

The drone's elevation changed 11.3 feet each second.

The drone's elevation changed 11.3 seconds per foot.

1 answer

To find out how quickly the drone is losing altitude, we can first calculate the total change in altitude and then divide that by the time it takes for the descent.

  1. The initial altitude is 120 meters, and the final altitude is 25 meters.

  2. The change in altitude is:

    \[ 120 , \text{meters} - 25 , \text{meters} = 95 , \text{meters} \]

  3. The time taken for the descent is 8.4 seconds.

  4. To find the rate of change of altitude per second, we divide the change in altitude by the time:

    \[ \text{Rate of change} = \frac{\text{Change in altitude}}{\text{Time}} = \frac{95 , \text{meters}}{8.4 , \text{seconds}} \approx 11.3 , \text{meters per second} \]

Since we want the result in feet, we note that 1 meter is approximately 3.28084 feet. So we convert this rate:

\[ 11.3 , \text{meters per second} \times 3.28084 , \text{feet per meter} \approx 37.1 , \text{feet per second} \]

Given that the drone is descending, this would be considered a negative change in elevation:

\[ \text{The drone's elevation changed} \approx -37.1 , \text{feet per second}. \]

None of the provided responses directly match this result. However, the closest interpretation from your options based on the metaphorical 'quickness' of the descent could be stated (and is incorrect by the conversion) as:

The drone's elevation changed -11.3 feet each second.

But please remember that the actual calculation yields -37.1 feet per second when accurately considering the unit conversions.