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1. For each of the two position versus time graphs below, sketch the corresponding| velocity and acceleration versus time graphs in the blank axes below each graph. Be sure to label both axes of each graph with the correct scale. 2.0 1.5 1.0 0.5 Time (s) Time is) Time (s) Time is) celeration m/s

1. For each of the two position versus time graphs below, sketch the corresponding| velocity and acceleration versus time graphs in the blank axes below each graph. Be sure to label both axes of each graph with the correct scale. 2.0 1.5 1.0 0.5 Time (s) Time is) Time (s) Time is) celeration m/s

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This educational resource presents two "position versus time" graphs and provides space to sketch the corresponding "velocity versus time" and "acceleration versus time" graphs. **Graph Analysis:** 1. **Left Column:** - **Position vs. Time Graph (Top):** - The graph is a parabola opening upwards, starting at 2.0 meters, dipping to 0.0 meters at 5 seconds, and rising back to 2.0 meters at 10 seconds. - X-axis: Time (s), ranging from 0 to 10. - Y-axis: Position (m), ranging from 0 to 2. - **Velocity vs. Time Graph (Middle):** - A blank grid provided to sketch based on the given position graph. - X-axis: Time (s). - Y-axis: Velocity (m/s). - **Acceleration vs. Time Graph (Bottom):** - A blank grid provided to sketch based on the position graph. - X-axis: Time (s). - Y-axis: Acceleration (m/s²). 2. **Right Column:** - **Position vs. Time Graph (Top):** - A smooth curve starting at around 2.0 meters, rising to about 6.0 meters at 7 seconds, then dropping back to 0 meters at 15 seconds. - X-axis: Time (s), ranging from 0 to 15. - Y-axis: Position (m), ranging from 0 to 6. - **Velocity vs. Time Graph (Middle):** - A blank grid provided to sketch based on the given position graph. - X-axis: Time (s). - Y-axis: Velocity (m/s). - **Acceleration vs. Time Graph (Bottom):** - A blank grid provided to sketch based on the position graph. - X-axis: Time (s). - Y-axis: Acceleration (m/s²). **Instructions:** - Use the provided position graphs to determine and sketch the corresponding velocity and acceleration graphs. - Ensure each graph is correctly labeled with appropriate scales on both axes.
Transcribed Image Text:This educational resource presents two "position versus time" graphs and provides space to sketch the corresponding "velocity versus time" and "acceleration versus time" graphs. **Graph Analysis:** 1. **Left Column:** - **Position vs. Time Graph (Top):** - The graph is a parabola opening upwards, starting at 2.0 meters, dipping to 0.0 meters at 5 seconds, and rising back to 2.0 meters at 10 seconds. - X-axis: Time (s), ranging from 0 to 10. - Y-axis: Position (m), ranging from 0 to 2. - **Velocity vs. Time Graph (Middle):** - A blank grid provided to sketch based on the given position graph. - X-axis: Time (s). - Y-axis: Velocity (m/s). - **Acceleration vs. Time Graph (Bottom):** - A blank grid provided to sketch based on the position graph. - X-axis: Time (s). - Y-axis: Acceleration (m/s²). 2. **Right Column:** - **Position vs. Time Graph (Top):** - A smooth curve starting at around 2.0 meters, rising to about 6.0 meters at 7 seconds, then dropping back to 0 meters at 15 seconds. - X-axis: Time (s), ranging from 0 to 15. - Y-axis: Position (m), ranging from 0 to 6. - **Velocity vs. Time Graph (Middle):** - A blank grid provided to sketch based on the given position graph. - X-axis: Time (s). - Y-axis: Velocity (m/s). - **Acceleration vs. Time Graph (Bottom):** - A blank grid provided to sketch based on the position graph. - X-axis: Time (s). - Y-axis: Acceleration (m/s²). **Instructions:** - Use the provided position graphs to determine and sketch the corresponding velocity and acceleration graphs. - Ensure each graph is correctly labeled with appropriate scales on both axes.
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