This is for my Precalc class. Course covers trigonometric, polynomial, and rational functions and their applications. ### Physics Problem: Acceleration Down a Hill---#### Problem Statement:1. Alice is about to sled down a snow-covered hill as shown below. The hill is so slippery that there’s no friction between her sled and the snow. What will Alice’s acceleration down the hill be? (*Hint: Anything close to the earth’s surface that falls freely will accelerate straight downward at a constant gravitational acceleration, g. Find the component of this gravitational acceleration that is parallel with the surface of the hill. Be sure to draw a large diagram that shows the vector g and how you’re finding the parallel component.*)![Alice sledding down a hill](Alice_sledding_hill.png)#### Diagram Explanation:The diagram depicts Alice sitting on a sled, preparing to slide down a hill inclined at an angle θ. The angle θ is the angle between the hill’s surface and the horizontal ground.#### Solution Steps:1. **Identify the Gravitational Force (g):** - The gravitational force acts vertically downward with an acceleration \( g \approx 9.8 \, \text{m/s}^2 \).2. **Resolve the Gravitational Force into Components:** - The gravitational force \( g \) can be resolved into two components: - A component perpendicular to the hill’s surface. - A component parallel to the hill’s surface (which causes the sled to accelerate down the hill).3. **Calculate the Parallel Component:** - The parallel component of the gravitational force causing Alice to slide down the hill can be found using: \[ g_{\parallel} = g \sin(\theta) \] where \( \sin(\theta) \) is the sine of the angle of the hill’s incline.4. **Resultant Acceleration:** - Since there is no friction, the parallel component of gravity is the net acceleration of Alice down the hill: \[ a = g \sin(\theta) \]---By following these steps, Alice's acceleration down the hill can be determined considering the given conditions and the absence of friction.

Answered: Image /qna-images/answer/8e14ae96-2941-4c7f-b902-3bb23d4087d3.jpg

1. Alice is about to sled down a snow-covered hill as shown below. The hill is so slippery that there's no friction between her sled and the snow. What will Alice's acceleration down the hill be? (Hint: Anything close to the earth's surface that falls freely will acceleration straight downward at a constant gravitational acceleration, g. Find the component of this gravitational acceleration that is parallel with the surface of the hill. Be sure to draw a large diagram that shows the vector g and how you're finding the parallel component.)

1. Alice is about to sled down a snow-covered hill as shown below. The hill is so slippery that there's no friction between her sled and the snow. What will Alice's acceleration down the hill be? (Hint: Anything close to the earth's surface that falls freely will acceleration straight downward at a constant gravitational acceleration, g. Find the component of this gravitational acceleration that is parallel with the surface of the hill. Be sure to draw a large diagram that shows the vector g and how you're finding the parallel component.)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: Is the function f(x) = 2√x - 3+4 continuous over his domain?

A: We have to check whether the function is continious over his domain.

Q: Given f(x) = 2x²-5x - 1 and g(x) = 2sin x, determine the values of x when f(g(x)) = 2 for 0 ≤ x ≤ 2.

A: The composite function is defined as a function made of the other functions, where the output of one…

Q: Evaluate the function. If the value is not a rational number, round your answer to three decimal…

Q: 2. In the following Exercises, graphs of f or, f' are given. Whichever is shown, sketch graphs of…

Q: Consider the following function. (a) Find the zeros algebraically. (Enter your answers as a…

A: For zeroes we put y=0 .

Q: = Consider the composite function g(x): and g? h(x) (Inside function) Y X Poll 2: The range of g(x)…

A: We need to find range of g(x).

Q: Cooking area 128x in? Cooking area 32x in2 (a) Use the function to find the diameter of each grill.…

Q: Evaluate the function. If the value is not a rational number, round your answer to three decimal…

A: Answer a) cosh(0) = ? cosh(0) = 1

Q: question

A: We have to write the function of f according to the given information

Q: What is the meaning of f′(s)?f′(s)? What are the units? -Is f′(1000)f′(1000) positive or negative

A: Consider the following variables, p = price of a house in dollars s = area of the house in square…

Q: 4. Consider the function y = f (x) shown below to answer these questions: [= a. What is the domain…

Question

This is for my Precalc class. Course covers trigonometric, polynomial, and rational functions and their applications.

### Physics Problem: Acceleration Down a Hill

---

#### Problem Statement:
1. Alice is about to sled down a snow-covered hill as shown below. The hill is so slippery that there’s no friction between her sled and the snow. What will Alice’s acceleration down the hill be? (*Hint: Anything close to the earth’s surface that falls freely will accelerate straight downward at a constant gravitational acceleration, g. Find the component of this gravitational acceleration that is parallel with the surface of the hill. Be sure to draw a large diagram that shows the vector g and how you’re finding the parallel component.*)

![Alice sledding down a hill](Alice_sledding_hill.png)

#### Diagram Explanation:
The diagram depicts Alice sitting on a sled, preparing to slide down a hill inclined at an angle θ. The angle θ is the angle between the hill’s surface and the horizontal ground.

#### Solution Steps:
1. **Identify the Gravitational Force (g):**
- The gravitational force acts vertically downward with an acceleration \( g \approx 9.8 \, \text{m/s}^2 \).

2. **Resolve the Gravitational Force into Components:**
- The gravitational force \( g \) can be resolved into two components:
- A component perpendicular to the hill’s surface.
- A component parallel to the hill’s surface (which causes the sled to accelerate down the hill).

3. **Calculate the Parallel Component:**
- The parallel component of the gravitational force causing Alice to slide down the hill can be found using:
\[ g_{\parallel} = g \sin(\theta) \]
where \( \sin(\theta) \) is the sine of the angle of the hill’s incline.

4. **Resultant Acceleration:**
- Since there is no friction, the parallel component of gravity is the net acceleration of Alice down the hill:
\[ a = g \sin(\theta) \]

---

By following these steps, Alice's acceleration down the hill can be determined considering the given conditions and the absence of friction.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Please answer this advanced functions grade 12 question on paper, please make sure the answer is correct and on paper if possible.
Can you please answer these two sub questions and show all of the steps and say the correct answer choice

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated