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 = 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 = 5.00 m/s sandbag encounters no appreciable air drag.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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please please answer all parts of the question in the image attached please answer super fast

Transcribed Image Text:**Educational Web Page: Understanding Motion and Velocity**
---
**Scenario: Hot Air Balloonist and Sandbag Release**
A hot air balloonist, ascending vertically at a steady speed of \(5.00 \, \text{m/s}\), releases a sandbag when the balloon is precisely \(40.0 \, \text{m}\) above the ground.
The sandbag, upon release, experiences no significant air resistance.
**Diagram Description:**
The figure illustrates a hot air balloon rising vertically with arrows indicating a velocity \(v = 5.00 \, \text{m/s}\). The basket of the balloon is positioned \(40.0 \, \text{m}\) above the ground at the time of the sandbag's release.
---
**Problem Solving:**
**Part A: Sandbag Height After 0.253 Seconds**
Compute the position (height above the ground) of the sandbag \(0.253 \, \text{s}\) after its release.
\( h = \_\_\_\_\_ \, \text{m} \)
**Part B: Sandbag Height After 1.06 Seconds**
Compute the position of the sandbag \(1.06 \, \text{s}\) after its release.
\( h = \_\_\_\_\_ \, \text{m} \)
**Part C: Velocity Component After 0.253 Seconds**
Compute the \(x\) component of the velocity of the sandbag at \(0.253 \, \text{s}\) after its release.
Take \(+x\) to be upward.
\( \_\_\_\_\_ \)
---
This problem encourages students to apply concepts of motion, velocity, and gravitational effects on free-falling objects, enhancing their understanding of physics principles.
![### Part D
**Problem Statement:**
Compute the \( x \) component of the velocity of the sandbag at 1.06 s after its release.
Take \( +x \) to be upward.
**Answer Box:**
\[
v_x = \boxed{\hspace{3cm}} \, \text{m/s}
\]
---
### Part E
**Problem Statement:**
How many seconds after its release will the bag strike the ground?
**Answer Box:**
\[
t = \boxed{\hspace{3cm}} \, \text{s}
\]
---
### Part F
**Problem Statement:**
How fast is it moving as it strikes the ground?
**Answer Box:**
\[
v = \boxed{\hspace{3cm}} \, \text{m/s}
\]
---
### Part G
**Problem Statement:**
What is the greatest height above the ground that the sandbag reaches?
**Answer Box:**
\[
h_{\text{max}} = \boxed{\hspace{3cm}} \, \text{m}
\]
---
There are no graphs or diagrams included in the image.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdab67aeb-c4d9-43f7-88d0-dfd6e7af2d5d%2Ffe72bf29-20f0-40c5-a82b-3479caa1ebd1%2F1ul3lo8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Part D
**Problem Statement:**
Compute the \( x \) component of the velocity of the sandbag at 1.06 s after its release.
Take \( +x \) to be upward.
**Answer Box:**
\[
v_x = \boxed{\hspace{3cm}} \, \text{m/s}
\]
---
### Part E
**Problem Statement:**
How many seconds after its release will the bag strike the ground?
**Answer Box:**
\[
t = \boxed{\hspace{3cm}} \, \text{s}
\]
---
### Part F
**Problem Statement:**
How fast is it moving as it strikes the ground?
**Answer Box:**
\[
v = \boxed{\hspace{3cm}} \, \text{m/s}
\]
---
### Part G
**Problem Statement:**
What is the greatest height above the ground that the sandbag reaches?
**Answer Box:**
\[
h_{\text{max}} = \boxed{\hspace{3cm}} \, \text{m}
\]
---
There are no graphs or diagrams included in the image.
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