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MOMENTUM vs. TIME GRAPHS Speeding up Slowing down

MOMENTUM vs. TIME GRAPHS Speeding up Slowing down

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Which graphs are speeding up and Which are slowing down? (note: these are Momentum vs Time graphs)

**Momentum vs. Time Graphs** This diagram consists of several momentum vs. time graphs, with accompanying checkboxes to classify each graph based on whether it represents a scenario where an object is speeding up or slowing down. ### Graph Descriptions: 1. **First Graph (Blue Line)**: The line slopes downwards, starting above the horizontal axis and crossing the zero line. This suggests momentum is decreasing over time. 2. **Second Graph (Green Line)**: The line slopes upwards, starting below the horizontal axis and crossing the zero line. This indicates momentum is increasing over time. 3. **Third Graph (Red Line)**: The line slopes upwards from the zero point, indicating momentum is increasing. 4. **Fourth Graph (Orange Line)**: The line slopes slightly upwards from a position above the horizontal axis, suggesting a gradual increase in momentum. 5. **Fifth Graph (Blue Line)**: The line slopes downwards, starting above the horizontal axis, indicating a decrease in momentum over time. 6. **Sixth Graph (Green Line)**: The line lies flat on the zero line indicating constant zero momentum. ### Classification Table: - **Columns**: Correspond to the graphs above each. - **Rows**: - **Speeding Up**: Checkboxes for marking graphs representing acceleration. - **Slowing Down**: Checkboxes for marking graphs representing deceleration. - The box under the fifth graph in the "Slowing down" row is highlighted, indicating it represents an object slowing down. Students can use this interactive exercise to improve their understanding of dynamic systems and how momentum changes over time.
Transcribed Image Text:**Momentum vs. Time Graphs** This diagram consists of several momentum vs. time graphs, with accompanying checkboxes to classify each graph based on whether it represents a scenario where an object is speeding up or slowing down. ### Graph Descriptions: 1. **First Graph (Blue Line)**: The line slopes downwards, starting above the horizontal axis and crossing the zero line. This suggests momentum is decreasing over time. 2. **Second Graph (Green Line)**: The line slopes upwards, starting below the horizontal axis and crossing the zero line. This indicates momentum is increasing over time. 3. **Third Graph (Red Line)**: The line slopes upwards from the zero point, indicating momentum is increasing. 4. **Fourth Graph (Orange Line)**: The line slopes slightly upwards from a position above the horizontal axis, suggesting a gradual increase in momentum. 5. **Fifth Graph (Blue Line)**: The line slopes downwards, starting above the horizontal axis, indicating a decrease in momentum over time. 6. **Sixth Graph (Green Line)**: The line lies flat on the zero line indicating constant zero momentum. ### Classification Table: - **Columns**: Correspond to the graphs above each. - **Rows**: - **Speeding Up**: Checkboxes for marking graphs representing acceleration. - **Slowing Down**: Checkboxes for marking graphs representing deceleration. - The box under the fifth graph in the "Slowing down" row is highlighted, indicating it represents an object slowing down. Students can use this interactive exercise to improve their understanding of dynamic systems and how momentum changes over time.
Expert Solution
Step 1

momentum is given by

p=mv

where m is mass and v is the velocity.

Momentum is a vector quantity. 

if we plot momentum along Y axis and t along X axis we can find the velocity at any instant for the object by dividing by mass. Since m will be constant, more the value of p, more will be the velocity.

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