Questions and Answers
What are the three types of graphs?
What does the slope represent on a Position-Time graph?
Velocity
What does the slope represent on a Velocity-Time graph?
Acceleration
What does the slope represent on an Acceleration-Time graph?
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What does the area under an Acceleration-Time graph represent?
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What does the area under a Velocity-Time graph represent?
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What does the area under a Position-Time graph represent?
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How do you find acceleration from a Position-Time graph?
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How do you find change in position (displacement) from an Acceleration-Time graph?
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Position-Time Graph: x-axis represents?
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Position-Time Graph: horizontal line away from x-axis represents?
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Position-Time Graph: straight, sloping line represents?
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Position-Time Graph: curved line represents?
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Velocity-Time Graph: x-axis represents?
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Velocity-Time Graph: horizontal line away from x-axis represents?
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Velocity-Time Graph: straight, sloping line represents?
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Acceleration-Time Graph: x-axis represents?
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Acceleration-Time Graph: horizontal line away from x-axis represents?
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Position-Time Graph: Where is the object at the origin?
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Position-Time Graph: Where is the object at rest?
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Position-Time Graph: Where is the object heading towards the origin?
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Position-Time Graph: Where is the object moving at a positive velocity?
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Position-Time Graph: Where is the object accelerating and is it positive or negative?
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Position-Time Graph: Where is the object not accelerating?
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Velocity-Time Graph: Where is the object at rest?
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Velocity-Time Graph: What happens at Point E?
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If the object starts at the origin, will it make it back?
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Velocity-Time Graph: When is the object accelerating, and is it negative or positive?
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Acceleration-Time Graph: Where is the object at rest?
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Acceleration-Time Graph: Where is the object undergoing no acceleration?
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Study Notes
Graph Types
- Three primary graph types: position-time, velocity-time, acceleration-time.
Position-Time Graphs
- Slope represents velocity.
- Horizontal line indicates the object is at rest.
- Straight sloping line shows constant velocity with no acceleration.
- Curved line indicates the presence of acceleration.
- Area under the graph does not represent a specific measurement.
Velocity-Time Graphs
- Slope represents acceleration.
- Horizontal line shows no acceleration, indicating constant velocity or at rest.
- Straight sloping line signifies acceleration, either positive or negative.
- Area under the graph indicates change in position (displacement).
Acceleration-Time Graphs
- Slope represents the rate of change in acceleration.
- Horizontal line indicates constant acceleration.
- Area under the graph represents the change in velocity.
Finding Accelerations and Positions
- To find acceleration from a position-time graph, analyze the shape:
- "U" shape indicates positive acceleration.
- "N" shape indicates negative acceleration.
- Straight sections indicate zero acceleration.
- Displacement from an acceleration-time graph is found by drawing a velocity-time graph and calculating the area under it.
Object Positions and Movements
- Position at the origin is represented by point C, EF.
- Object at rest occurs at points AB, EF on the position-time graph.
- Movement towards the origin is identified at points BC, DE, HI.
- Positive velocity movement occurs at points BD, FH.
- Acceleration presence and type:
- Curved sections indicate acceleration.
- U-shaped pieces represent positive acceleration.
- N-shaped pieces indicate negative acceleration.
Rest and Acceleration Insights
- Object is at rest at points AB (for a long time) and E (for a brief moment) on the velocity-time graph.
- Point E indicates a change in direction or turning around.
- If starting from the origin, negative displacement indicates the object will not return.
- Negative and positive acceleration identified at BC (-) and DF (+).
- Zero acceleration can signify the object is at rest or maintaining constant velocity.
Non-Acceleration Identifications
- No acceleration can be found at point CD on the acceleration-time graph and during straight segments on the position-time graph.
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Description
Test your understanding of position-time, velocity-time, and acceleration-time graphs with these flashcards. Dive into the significance of slope in each graph type and enhance your grasp of these fundamental concepts in physics.