A hotair balloonist, rising vertically with a constant speed of 5.00 m/s, releases a sandbag at the instant the balloon is 40.0 m above the ground. (See the figure) After it is released, the V = 5.00 m/s sandbag encounters no appreciable air drag.
A hotair balloonist, rising vertically with a constant speed of 5.00 m/s, releases a sandbag at the instant the balloon is 40.0 m above the ground. (See the figure) After it is released, the V = 5.00 m/s sandbag encounters no appreciable air drag.
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![**Part D**
Compute the \( x \) component of the velocity of the sandbag at 1.06 seconds after its release.
*Take \( +x \) to be upward.*
\[ v_x = \_\_\_\_ \, \text{m/s} \]
---
**Part E**
How many seconds after its release will the bag strike the ground?
\[ t = \_\_\_\_ \, \text{s} \]
---
**Part F**
How fast is it moving as it strikes the ground?
\[ v = \_\_\_\_ \, \text{m/s} \]
---
**Part G**
What is the greatest height above the ground that the sandbag reaches?
\[ h_{\text{max}} = \_\_\_\_ \, \text{m} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdab67aeb-c4d9-43f7-88d0-dfd6e7af2d5d%2F06433ed4-bc25-4661-8e4c-4cc464e86e16%2Frizq7tf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Part D**
Compute the \( x \) component of the velocity of the sandbag at 1.06 seconds after its release.
*Take \( +x \) to be upward.*
\[ v_x = \_\_\_\_ \, \text{m/s} \]
---
**Part E**
How many seconds after its release will the bag strike the ground?
\[ t = \_\_\_\_ \, \text{s} \]
---
**Part F**
How fast is it moving as it strikes the ground?
\[ v = \_\_\_\_ \, \text{m/s} \]
---
**Part G**
What is the greatest height above the ground that the sandbag reaches?
\[ h_{\text{max}} = \_\_\_\_ \, \text{m} \]
Transcribed Image Text:**Transcription:**
A hot air balloonist, rising vertically with a constant speed of 5.00 m/s, releases a sandbag at the instant the balloon is 40.0 m above the ground. (See the figure) After it is released, the sandbag encounters no appreciable air drag.
**Diagram Explanation:**
The diagram shows a hot air balloon ascending straight up. The speed of the balloon is indicated by an arrow pointing upward with a label "v = 5.00 m/s." The balloon's position is marked as "40.0 m to ground" to show its height above the ground. The sandbag is depicted being released from the balloon. There are no additional elements like air resistance in the diagram, highlighting that the sandbag will fall freely.
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Step 1: Determine the given data:
VIEWStep 2: D) Determine the x component of velocity after t=1.06 sec
VIEWStep 3: E) Determine the time when the bag strikes the ground:
VIEWStep 4: F) Determine the speed at which it strikes the ground:
VIEWStep 5: G) Calculate the maximum height of sandbag:
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