After the object reaches the ground, the object continues to move downwards, embedding itself 0.200 m deep in the muddy ground before finally coming to rest. Assume that, while moving 0.200 m down into the mud, the object slowed down at an approximately steady rate. 18. Which of the following diagrams correctly describes the object's motion while embedding itself into the mud? A) B) C) vi Ду Vi Ду Ду a a Vf = 0 Vf = 0 Vf = 0 D) E) vi Ду Ду Vì = 0 Vi = 0 19. Find the magnitude and the direction of the object's acceleration while it slowed down and came to rest in the ground. A. 2.29 x10' m/2 straight upwards. B. 107 m/: straight upwards. C. 53.5 m/ 2 straight downwards. D. 1.14.x 10' m: straight upwards. E. 9,80 m/ "2 straight downwards. 20. How much time passed as the object, in contact with the ground, slowed down and came to rest? A. 18.7 milliseconds. B. 0.458 s. C. 0.400 s. D. 9.35 milliseconds. E. 0.200 s.

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A small object is released from a hot air balloon which is rising straight upwards. At the instant when the object is released, it is located 20.0 m above the ground. An observer standing at rest on the ground below notes that just before the object crashes into the soft ground, it (the object) is moving straight down at 21.4 m/s. Assume that air resistance is negligible, although it would not be! In the following, consider the object’s motion from the viewpoint of a person standing at rest on the ground. Assume that the acceleration due to gravity has magnitude \(9.80 \, \frac{m}{s^2}\).
Transcribed Image Text:A small object is released from a hot air balloon which is rising straight upwards. At the instant when the object is released, it is located 20.0 m above the ground. An observer standing at rest on the ground below notes that just before the object crashes into the soft ground, it (the object) is moving straight down at 21.4 m/s. Assume that air resistance is negligible, although it would not be! In the following, consider the object’s motion from the viewpoint of a person standing at rest on the ground. Assume that the acceleration due to gravity has magnitude \(9.80 \, \frac{m}{s^2}\).
The text and diagrams describe the process of an object embedding itself into mud after impact. Here's the transcription and explanation suitable for an educational context:

---

**Concept: Object Motion and Acceleration in Mud**

After the object reaches the ground, it continues to move downwards, embedding itself 0.200 m deep in the muddy ground before finally coming to rest. Assume that while moving 0.200 m down into the mud, the object slowed down at an approximately steady rate.

**18. Which of the following diagrams correctly describes the object's motion while embedding itself into the mud?**

- **Diagram A**: Shows initial velocity (\(v_i\)) pointing downwards, change in displacement (\(\Delta y\)) pointing downwards, acceleration (\(a\)) pointing upwards, and final velocity (\(v_f = 0\)).

- **Diagram B**: Shows initial velocity (\(v_i\)) pointing to the right, change in displacement (\(\Delta y\)) pointing to the right, acceleration (\(a\)) pointing upwards, and final velocity (\(v_f = 0\)).

- **Diagram C**: Shows initial velocity (\(v_i\)) pointing downwards, change in displacement (\(\Delta y\)) pointing downwards, acceleration (\(a\)) pointing to the right, and final velocity (\(v_f = 0\)).

- **Diagram D**: Shows initial velocity (\(v_i\)) pointing downwards, change in displacement (\(\Delta y\)) pointing upwards, acceleration (\(a\)) pointing upwards, and final velocity (\(v_f = 0\)).

- **Diagram E**: Shows initial velocity (\(v_i\)) pointing downwards, change in displacement (\(\Delta y\)) pointing to the right, acceleration (\(a\)) pointing downwards, and final velocity (\(v_f = 0\)).

**19. Find the magnitude and direction of the object's acceleration while it slowed down and came to rest in the ground.**

- A. \(2.29 \times 10^3 \, \text{m/s}^2\), straight upwards.
- B. \(107 \, \text{m/s}^2\), straight upwards.
- C. \(53.5 \, \text{m/s}^2\), straight downwards.
- D. \(1.14 \times 10^
Transcribed Image Text:The text and diagrams describe the process of an object embedding itself into mud after impact. Here's the transcription and explanation suitable for an educational context: --- **Concept: Object Motion and Acceleration in Mud** After the object reaches the ground, it continues to move downwards, embedding itself 0.200 m deep in the muddy ground before finally coming to rest. Assume that while moving 0.200 m down into the mud, the object slowed down at an approximately steady rate. **18. Which of the following diagrams correctly describes the object's motion while embedding itself into the mud?** - **Diagram A**: Shows initial velocity (\(v_i\)) pointing downwards, change in displacement (\(\Delta y\)) pointing downwards, acceleration (\(a\)) pointing upwards, and final velocity (\(v_f = 0\)). - **Diagram B**: Shows initial velocity (\(v_i\)) pointing to the right, change in displacement (\(\Delta y\)) pointing to the right, acceleration (\(a\)) pointing upwards, and final velocity (\(v_f = 0\)). - **Diagram C**: Shows initial velocity (\(v_i\)) pointing downwards, change in displacement (\(\Delta y\)) pointing downwards, acceleration (\(a\)) pointing to the right, and final velocity (\(v_f = 0\)). - **Diagram D**: Shows initial velocity (\(v_i\)) pointing downwards, change in displacement (\(\Delta y\)) pointing upwards, acceleration (\(a\)) pointing upwards, and final velocity (\(v_f = 0\)). - **Diagram E**: Shows initial velocity (\(v_i\)) pointing downwards, change in displacement (\(\Delta y\)) pointing to the right, acceleration (\(a\)) pointing downwards, and final velocity (\(v_f = 0\)). **19. Find the magnitude and direction of the object's acceleration while it slowed down and came to rest in the ground.** - A. \(2.29 \times 10^3 \, \text{m/s}^2\), straight upwards. - B. \(107 \, \text{m/s}^2\), straight upwards. - C. \(53.5 \, \text{m/s}^2\), straight downwards. - D. \(1.14 \times 10^
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