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

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter15: Fluids
Section: Chapter Questions
Problem 32PQ
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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?

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 → 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
y
<
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
Transcribed Image Text: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 → 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 y < 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
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