3. Michael Jordan, formerly of the Chicago Bulls basketball team, has some fanatic fans. They claim that he is able to jump and remain in the air for two full seconds from launch to landing. a. Calculate the maximum height that a 2-sec jump would attain. Is this a realistic jump? b. At the moment his feet leave the ground, how fast is he traveling? c. Draw a position-time, velocity-time, and acceleration-time graphs of Michael Jordan's jump. Describe how your coordinate system (origin, x-axis, y-axis) is oriented. These graphs need to be lined up vertically (axes are below). Place numbers on the vertical and horizontal axes.

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**Text Transcription for Educational Website:**

**Task 3:** Michael Jordan, formerly of the Chicago Bulls basketball team, has some fanatic fans. They claim that he is able to jump and remain in the air for two full seconds from launch to landing.

**a.** Calculate the maximum height that a 2-sec jump would attain. Is this a realistic jump?

**b.** At the moment his feet leave the ground, how fast is he traveling?

**c.** Draw a position-time, velocity-time, and acceleration-time graphs of Michael Jordan’s jump. Describe how your coordinate system (origin, x-axis, y-axis) is oriented. These graphs need to be lined up vertically (axes are below). Place numbers on the vertical and horizontal axes.

**Graphs Explanation:**

- **Position-Time Graph:** This graph should display the vertical position of Michael Jordan over time during his jump. The curve would start at zero, rise to a peak, and then fall back to zero, representing ascent and descent.

- **Velocity-Time Graph:** This graph should depict the velocity of Michael Jordan in the vertical direction over time. The graph would start at the initial velocity, decrease to zero at the peak of the jump, and then become negative as he descends.

- **Acceleration-Time Graph:** This graph should illustrate the constant gravitational acceleration acting on Michael Jordan, typically a flat line representing -9.8 m/s² throughout the jump duration.

**Coordinate System Description:**

- The origin represents the starting point of the jump.
- The x-axis represents time progressing forward.
- The y-axis represents vertical position, velocity, or acceleration, depending on the graph.

All graphs should indicate appropriate scales on both their vertical and horizontal axes to accurately represent time and the associated physical quantity (position, velocity, acceleration).
Transcribed Image Text:**Text Transcription for Educational Website:** **Task 3:** Michael Jordan, formerly of the Chicago Bulls basketball team, has some fanatic fans. They claim that he is able to jump and remain in the air for two full seconds from launch to landing. **a.** Calculate the maximum height that a 2-sec jump would attain. Is this a realistic jump? **b.** At the moment his feet leave the ground, how fast is he traveling? **c.** Draw a position-time, velocity-time, and acceleration-time graphs of Michael Jordan’s jump. Describe how your coordinate system (origin, x-axis, y-axis) is oriented. These graphs need to be lined up vertically (axes are below). Place numbers on the vertical and horizontal axes. **Graphs Explanation:** - **Position-Time Graph:** This graph should display the vertical position of Michael Jordan over time during his jump. The curve would start at zero, rise to a peak, and then fall back to zero, representing ascent and descent. - **Velocity-Time Graph:** This graph should depict the velocity of Michael Jordan in the vertical direction over time. The graph would start at the initial velocity, decrease to zero at the peak of the jump, and then become negative as he descends. - **Acceleration-Time Graph:** This graph should illustrate the constant gravitational acceleration acting on Michael Jordan, typically a flat line representing -9.8 m/s² throughout the jump duration. **Coordinate System Description:** - The origin represents the starting point of the jump. - The x-axis represents time progressing forward. - The y-axis represents vertical position, velocity, or acceleration, depending on the graph. All graphs should indicate appropriate scales on both their vertical and horizontal axes to accurately represent time and the associated physical quantity (position, velocity, acceleration).
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