a student is exploring acceleration with a drone. the graph shows the acceleration of the drone. based on…

a student is exploring acceleration with a drone. the graph shows the acceleration of the drone. based on the graph, which statement is not true? a when comparing segments on the graph, the steeper the line segment is going up to the right, the greater the positive acceleration. b a line segment that is going down to the right has a negative acceleration over that period of time. c a horizontal line segment corresponds to a constant speed over that period of time. d a line segment with a zero slope corresponds to moments when the drone stopped over the given period of time.

a student is exploring acceleration with a drone. the graph shows the acceleration of the drone. based on the graph, which statement is not true? a when comparing segments on the graph, the steeper the line segment is going up to the right, the greater the positive acceleration. b a line segment that is going down to the right has a negative acceleration over that period of time. c a horizontal line segment corresponds to a constant speed over that period of time. d a line segment with a zero slope corresponds to moments when the drone stopped over the given period of time.

Answer

Answer:

D. A line segment with a zero slope corresponds to moments when the drone stopped over the given period of time.

Explanation:

Step1: Recall acceleration - speed - time graph concepts

Acceleration is rate of change of speed.

Step2: Analyze option A

Steeper upward - right line means larger $\frac{\Delta v}{\Delta t}$, so greater positive acceleration. True.

Step3: Analyze option B

Downward - right line means $\Delta v<0$ for $\Delta t > 0$, so negative acceleration. True.

Step4: Analyze option C

Horizontal line has $\Delta v = 0$, so constant speed. True.

Step5: Analyze option D

Zero - slope line means $\Delta v=0$, i.e., constant speed. Not necessarily stopped (speed could be non - zero). False.