A pilot Is flying an airplane. Due To Strong Winds, The Pilot Decides To Fly 4,000 Feet Lower To Avoid Excessive Turbulence. It Takes The Pilot 3.5 minutes to make this adjustment. Interpret the quotient to describe the rate of change in the plane's altitude. Give your answer in the nearest hundredth, and remember the plane is descending.
To find the rate of change in the plane's altitude, we can divide the change in altitude by the time it takes to make the adjustment.
The change in altitude is 4,000 feet because the pilot decides to fly 4,000 feet lower.
The time it takes to make the adjustment is 3.5 minutes.
Dividing the change in altitude by the time gives us a quotient of -1142.86 (rounded to the nearest hundredth).
Interpreting this result, the rate of change in the plane's altitude is approximately -1142.86 feet per minute. Since the plane is descending, the negative sign indicates a decrease in altitude.
To find the rate of change in the plane's altitude, we need to determine the change in altitude and the corresponding time taken.
The change in altitude is given as 4,000 feet lower, which means the altitude decreased by 4,000 feet.
The time taken to make this adjustment is mentioned as 3.5 minutes.
To find the rate of change, we divide the change in altitude by the time taken:
Rate of change = Change in altitude / Time taken
Rate of change = -4,000 feet / 3.5 minutes
Dividing these values gives us:
Rate of change ≈ -1,142.86 feet per minute (rounded to the nearest hundredth)
Therefore, the rate of change in the plane's altitude, when descending to avoid excessive turbulence, is approximately -1,142.86 feet per minute.