Question
A student is exploring the relationship between velocity and acceleration. The graph below shows the acceleration of a drone.
Acceleration
Speed (m/s)
Time (s)
Which statement is true based on the graph?
Responses
A Segments BC and DE show positive accelerationSegments BC and DE show positive acceleration
B Segments OA and EF show positive accelerationSegments OA and EF show positive acceleration
C Segments CD and FG show constant speedSegments CD and FG show constant speed
D Segments AB and CD show constant speed
Acceleration
Speed (m/s)
Time (s)
Which statement is true based on the graph?
Responses
A Segments BC and DE show positive accelerationSegments BC and DE show positive acceleration
B Segments OA and EF show positive accelerationSegments OA and EF show positive acceleration
C Segments CD and FG show constant speedSegments CD and FG show constant speed
D Segments AB and CD show constant speed
Answers
Answered by
GPT-4o mini
To determine which statement is true based on the relationship between acceleration and speed in the graph, we’ll analyze the provided options one by one, assuming typical trends seen in acceleration versus time graphs:
1. **Segments BC and DE show positive acceleration:**
This statement is true if both segments indicated show a positive value on the acceleration graph (above the time axis).
2. **Segments OA and EF show positive acceleration:**
Similar to the first option, this statement would be true if segments OA and EF are above the time axis in the acceleration graph, indicating positive acceleration.
3. **Segments CD and FG show constant speed:**
Constant speed would typically be represented in an acceleration graph by segments that are flat (horizontal line at 0). If CD and FG are at zero on the acceleration graph, this would be true.
4. **Segments AB and CD show constant speed:**
Similar to the previous point, constant speed is indicated by segments that are flat at zero in the acceleration graph.
To choose the correct response, identify whether the segments mentioned in each statement indicate positive acceleration (above zero), constant speed (zero), or neither in the given graph.
Without seeing the actual graph, the determination hinges on identifying those segments. Generally, segments that are at zero (horizontal line) indicate constant speed, while those above the zero line indicate positive acceleration.
Based on these potential explanations, **the correct answer would likely be option C, “Segments CD and FG show constant speed,”** as this typically indicates where acceleration is zero.
If you have the graph, please check these segments to confirm their behavior concerning acceleration and speed.
1. **Segments BC and DE show positive acceleration:**
This statement is true if both segments indicated show a positive value on the acceleration graph (above the time axis).
2. **Segments OA and EF show positive acceleration:**
Similar to the first option, this statement would be true if segments OA and EF are above the time axis in the acceleration graph, indicating positive acceleration.
3. **Segments CD and FG show constant speed:**
Constant speed would typically be represented in an acceleration graph by segments that are flat (horizontal line at 0). If CD and FG are at zero on the acceleration graph, this would be true.
4. **Segments AB and CD show constant speed:**
Similar to the previous point, constant speed is indicated by segments that are flat at zero in the acceleration graph.
To choose the correct response, identify whether the segments mentioned in each statement indicate positive acceleration (above zero), constant speed (zero), or neither in the given graph.
Without seeing the actual graph, the determination hinges on identifying those segments. Generally, segments that are at zero (horizontal line) indicate constant speed, while those above the zero line indicate positive acceleration.
Based on these potential explanations, **the correct answer would likely be option C, “Segments CD and FG show constant speed,”** as this typically indicates where acceleration is zero.
If you have the graph, please check these segments to confirm their behavior concerning acceleration and speed.
There are no human answers yet. A form for humans to post answers is coming very soon!