The kinematical graphs of a person riding her bicycle are shown below. Time is measured in second, velocity in m/s and acceleration in m/s2. Assume that she starts at x=0. Kinematical Graph 5.png Describe the motion of the bicyclist (direction of velocity and whether the velocity is constant, increasing and decreasing) during each 1s interval from 0-4 s using the graph. Draw the position – time (x-t) graph of this motion. This is qualitative only, showing the shapes of the x-t curves in each interval and need not be drawn to scale. Draw the acceleration – time graph (a-t graph) for this motion. Draw this graph showing the values of acceleration in m/s2. What is the displacement of the bicyclist from 0-4 s. What physics principle did you use? Show your work.

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The kinematical graphs of a person riding her bicycle are shown below. Time is measured in second, velocity in m/s and acceleration in m/s2. Assume that she starts at x=0. Kinematical Graph 5.png Describe the motion of the bicyclist (direction of velocity and whether the velocity is constant, increasing and decreasing) during each 1s interval from 0-4 s using the graph. Draw the position – time (x-t) graph of this motion. This is qualitative only, showing the shapes of the x-t curves in each interval and need not be drawn to scale. Draw the acceleration – time graph (a-t graph) for this motion. Draw this graph showing the values of acceleration in m/s2. What is the displacement of the bicyclist from 0-4 s. What physics principle did you use? Show your work.
The image consists of three graphs displayed side by side, illustrating the relationships between position, velocity, and acceleration over time. Each graph plots data points and is labeled with respective axes.

1. **Position vs. Time Graph (Left)**
   - **Axes:** The vertical axis (labeled 'X') represents position, while the horizontal axis (labeled 't') represents time.
   - **Data:** A single blue data point is plotted at position 1 on the time axis 0, indicating no change in position over time from 0 to 4.

2. **Velocity vs. Time Graph (Center)**
   - **Axes:** The vertical axis (labeled 'V') represents velocity, while the horizontal axis (labeled 't') represents time.
   - **Data:** Several black data points form a line with a peak at time t=2:
     - Velocity increases from 0 to 2 from time t=0 to t=1.
     - Velocity remains constant at 2 from time t=1 to t=2.
     - Velocity decreases back to 0 at time t=3.
     - At t=4, there's a significant drop below 0.

3. **Acceleration vs. Time Graph (Right)**
   - **Axes:** The vertical axis (labeled 'a') represents acceleration, while the horizontal axis (labeled 't') represents time.
   - **Data:** The graph shows no data points above or below the horizontal axis, suggesting constant zero acceleration over the time interval shown.

These graphs collectively demonstrate basic principles of motion, with the central graph indicating changes in velocity, suggesting periods of acceleration and deceleration, while the position and acceleration graphs show constant values within the plotted timeframe.
Transcribed Image Text:The image consists of three graphs displayed side by side, illustrating the relationships between position, velocity, and acceleration over time. Each graph plots data points and is labeled with respective axes. 1. **Position vs. Time Graph (Left)** - **Axes:** The vertical axis (labeled 'X') represents position, while the horizontal axis (labeled 't') represents time. - **Data:** A single blue data point is plotted at position 1 on the time axis 0, indicating no change in position over time from 0 to 4. 2. **Velocity vs. Time Graph (Center)** - **Axes:** The vertical axis (labeled 'V') represents velocity, while the horizontal axis (labeled 't') represents time. - **Data:** Several black data points form a line with a peak at time t=2: - Velocity increases from 0 to 2 from time t=0 to t=1. - Velocity remains constant at 2 from time t=1 to t=2. - Velocity decreases back to 0 at time t=3. - At t=4, there's a significant drop below 0. 3. **Acceleration vs. Time Graph (Right)** - **Axes:** The vertical axis (labeled 'a') represents acceleration, while the horizontal axis (labeled 't') represents time. - **Data:** The graph shows no data points above or below the horizontal axis, suggesting constant zero acceleration over the time interval shown. These graphs collectively demonstrate basic principles of motion, with the central graph indicating changes in velocity, suggesting periods of acceleration and deceleration, while the position and acceleration graphs show constant values within the plotted timeframe.
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