Ahot-air balloonist riging vertically with a constant velocity of magnitude 500 m/s, releases a sandbag at an instant when te baloon is a height h= 40.0 m above the ground Egu1) Ater it is released, the sandbag is in free fal For the questions that follow, take the origin of the coordinate system used for measuring displacements to be a the ground, and upward displacements to be positive • Part A Compute the position of the sandbag aatime 0385sater its release Express your answer in meters. * O B ? Submit Reoventan • Part B Compune the magnitude of the velocity of the sandbag at a time O 385ater its release Express your answer in meters per second. m/s Submit Reentan • Part C Denermine the direction of the velocty of the sandbag aa time 0385s aher its release O upward O downward Submit Reentanr

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**Educational Exercise: Hot Air Balloon Physics**

A hot air balloonist, rising vertically with a constant velocity of magnitude \( v = 5.00 \, \text{m/s} \), releases a sandbag at an instant when the balloon is at a height of 40.0 m above the ground \((t=0)\). After it is released, the sandbag is in free fall. For the questions that follow, take the origin of the coordinate system used for measuring displacements to be at the ground, and upward displacements to be positive.

**Exercise Parts:**

**Part A:**
Compute the position of the sandbag at a time 0.305 s after its release.
- Express your answer in meters.
- Answer box: \( y = \) [   ] m
- Submit Button
- Request Answer Button

**Part B:**
Compute the magnitude of the velocity of the sandbag at a time 0.305 s after its release.
- Express your answer in meters per second.
- Answer box: \( v = \) [   ] m/s
- Submit Button
- Request Answer Button

**Part C:**
Determine the direction of the velocity of the sandbag at a time 0.305 s after its release.
- Options: 
  - Upward
  - Downward
- Submit Button
- Request Answer Button

**Part D:**
Compute the position of the sandbag at a time 1.25 s after its release.
- Express your answer in meters.
- Answer box: \( y = \) [   ] m
- Submit Button
- Request Answer Button

**Part E:**
Compute the magnitude of the velocity of the sandbag at a time 1.25 s after its release.
- Express your answer in meters per second.
- Answer box: \( v = \) [   ] m/s
- Submit Button
- Request Answer Button

**Figure Details:**
A diagram representing the hot air balloon is shown at the bottom of the exercise. The balloon is moving upward with a velocity of \( 5.00 \, \text{m/s} \) and the sandbag is being released. The coordinate system is marked with the origin at the ground level.

- The diagram visually supports the problem description by indicating the vertical rise of the balloon and the positioning of the sandbag release.
- It provides a clear context for setting up the physics
Transcribed Image Text:**Educational Exercise: Hot Air Balloon Physics** A hot air balloonist, rising vertically with a constant velocity of magnitude \( v = 5.00 \, \text{m/s} \), releases a sandbag at an instant when the balloon is at a height of 40.0 m above the ground \((t=0)\). After it is released, the sandbag is in free fall. For the questions that follow, take the origin of the coordinate system used for measuring displacements to be at the ground, and upward displacements to be positive. **Exercise Parts:** **Part A:** Compute the position of the sandbag at a time 0.305 s after its release. - Express your answer in meters. - Answer box: \( y = \) [ ] m - Submit Button - Request Answer Button **Part B:** Compute the magnitude of the velocity of the sandbag at a time 0.305 s after its release. - Express your answer in meters per second. - Answer box: \( v = \) [ ] m/s - Submit Button - Request Answer Button **Part C:** Determine the direction of the velocity of the sandbag at a time 0.305 s after its release. - Options: - Upward - Downward - Submit Button - Request Answer Button **Part D:** Compute the position of the sandbag at a time 1.25 s after its release. - Express your answer in meters. - Answer box: \( y = \) [ ] m - Submit Button - Request Answer Button **Part E:** Compute the magnitude of the velocity of the sandbag at a time 1.25 s after its release. - Express your answer in meters per second. - Answer box: \( v = \) [ ] m/s - Submit Button - Request Answer Button **Figure Details:** A diagram representing the hot air balloon is shown at the bottom of the exercise. The balloon is moving upward with a velocity of \( 5.00 \, \text{m/s} \) and the sandbag is being released. The coordinate system is marked with the origin at the ground level. - The diagram visually supports the problem description by indicating the vertical rise of the balloon and the positioning of the sandbag release. - It provides a clear context for setting up the physics
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