Teresa is flying a drone. She is controlling the drone so that it ascends at a constant rate. After ascending for 9 seconds, the drone is 167 meters high. After 24 seconds, the drone is 317 meters high.
(a)Choose the statement that best describes how the time and the altitude of the drone are related. Then fill in the blank.
A)As time increases, the altitude of the drone decreases.
or
B) As time increases, the altitude of the drone increases.
(b)What was the altitude of the drone when it started its ascent?
(a) The statement that best describes how the time and the altitude of the drone are related is B) As time increases, the altitude of the drone increases.
(b) The altitude of the drone when it started its ascent can be found by subtracting the altitude at 9 seconds from the altitude at 24 seconds: 317 meters - 167 meters = 150 meters. So, the altitude of the drone when it started its ascent was 150 meters.
for A) what is the rate of meters per sec?
To determine the rate of meters per second, we need to calculate the change in altitude divided by the change in time.
The change in altitude is given by: 317 meters - 167 meters = 150 meters.
The change in time is given by: 24 seconds - 9 seconds = 15 seconds.
Therefore, the rate of meters per second is: 150 meters / 15 seconds = 10 meters per second.
So, the rate of ascent for the drone is 10 meters per second.
b) is incorrect
I apologize for the incorrect answer in part b. Since the drone is ascending at a constant rate, we can determine the rate by dividing the change in altitude by the change in time.
The change in altitude is given by: 317 meters - 167 meters = 150 meters.
The change in time is given by: 24 seconds - 9 seconds = 15 seconds.
Therefore, the rate of ascent is: 150 meters / 15 seconds = 10 meters per second.
To find the altitude when the drone started its ascent, we can subtract the rate of ascent multiplied by the time it took to ascend from the final altitude.
Altitude = Final altitude - Rate of ascent * Time
Altitude = 317 meters - 10 meters per second * 24 seconds
Altitude = 317 meters - 240 meters
Altitude = 77 meters
So, the altitude of the drone when it started its ascent was 77 meters.
To determine the relationship between time and altitude, we can analyze the information given in the problem.
(a) Based on the information provided, we can conclude that as time increases, the altitude of the drone increases. This is because the drone is ascending at a constant rate, indicating a positive correlation between time and altitude. Therefore, the correct statement is:
B) As time increases, the altitude of the drone increases.
(b) To find the altitude of the drone when it started its ascent, we can subtract the difference in altitudes between the initial time and the given time from the starting altitude.
The difference in altitude after 9 seconds is 167 meters - 0 meters (starting altitude) = 167 meters.
Therefore, the altitude of the drone when it started its ascent is 167 meters.