A water tank of height h has a small hole at height y. The water is replenished to keep h from changing. The water squirting from the hole has range . The range approaches zero as y→ 0 because the water squirts right onto the ground. The range also approaches zero as y → h because the horizontal velocity becomes zero. Thus there must be some height y between 0 and h for which the range is a maximum. (Figure 1) Figure h < 1 of 1 Part B Find an algebraic expression for the range of a particle shot horizontally from height y with speed v. Express your answer in terms of the variables v, y and appropriate constants. ► View Available Hint(s) VE ΑΣΦ x = Submit Previous Answers Request Answer ? Review X Incorrect; Try Again; 2 attempts remaining
A water tank of height h has a small hole at height y. The water is replenished to keep h from changing. The water squirting from the hole has range . The range approaches zero as y→ 0 because the water squirts right onto the ground. The range also approaches zero as y → h because the horizontal velocity becomes zero. Thus there must be some height y between 0 and h for which the range is a maximum. (Figure 1) Figure h < 1 of 1 Part B Find an algebraic expression for the range of a particle shot horizontally from height y with speed v. Express your answer in terms of the variables v, y and appropriate constants. ► View Available Hint(s) VE ΑΣΦ x = Submit Previous Answers Request Answer ? Review X Incorrect; Try Again; 2 attempts remaining
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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NOTE: The answer of x=(vy)/g is not correct given to me by one of the experts. What is the correct answer?
)
**Part B:**
Find an algebraic expression for the range of a particle shot horizontally from height \( y \) with speed \( v \).
Express your answer in terms of the variables \( v \), \( y \), and appropriate constants.
- **Input Box**: \( x = \_\_\_ \)
- After submission, incorrect feedback is given with "Incorrect; Try Again; 2 attempts remaining."
**Diagram Explanation:**
**Figure 1:**
- The figure displays a vertical water tank filled with water up to a height \( h \).
- A hole is located at height \( y \) from the bottom of the tank.
- Water squirts out horizontally, creating a parabolic trajectory, and lands at a horizontal distance \( x \) from the base of the tank.
- The diagram visually communicates the relationship between the height of the hole \( y \) and the range \( x \) of the water stream.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff10ee9c1-ac4d-427e-952f-757e77812ad0%2F59e612a9-0400-4bb9-a55c-7ff78c3cc901%2F6z1dhux_processed.png&w=3840&q=75)
Transcribed Image Text:**Educational Content on Projectile Motion**
**Text Explanation:**
A water tank of height \( h \) has a small hole at height \( y \). The water is replenished to keep \( h \) from changing. The water squirting from the hole has range \( x \). The range approaches zero as \( y \to 0 \) because the water squirts right onto the ground. The range also approaches zero as \( y \to h \) because the horizontal velocity becomes zero. Thus, there must be some height \( y \) between 0 and \( h \) for which the range is a maximum. ([Figure 1](#))
**Part B:**
Find an algebraic expression for the range of a particle shot horizontally from height \( y \) with speed \( v \).
Express your answer in terms of the variables \( v \), \( y \), and appropriate constants.
- **Input Box**: \( x = \_\_\_ \)
- After submission, incorrect feedback is given with "Incorrect; Try Again; 2 attempts remaining."
**Diagram Explanation:**
**Figure 1:**
- The figure displays a vertical water tank filled with water up to a height \( h \).
- A hole is located at height \( y \) from the bottom of the tank.
- Water squirts out horizontally, creating a parabolic trajectory, and lands at a horizontal distance \( x \) from the base of the tank.
- The diagram visually communicates the relationship between the height of the hole \( y \) and the range \( x \) of the water stream.
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