We place a marble at the top of the tube shown in the figure. The marble

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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How can I prove that if h=h1 the distance x is the maximum

[Q2-THOUGHT EXPERIMENT**]
We place a marble at the top of the
tube shown in the figure. The marble
shoots out from the tube and lands at a
distance x
Q2a) Express x as a function of
h₂
h and h₁
Q2b) Discuss how the marble's exiting speed (from the tube) would be affected if we raised
the entire contraption shown in fig. 5 by h₂ but keeping h constant. Show work.
Q2c) Prove that if h = h₁ m the marble x will be maximum.
Transcribed Image Text:[Q2-THOUGHT EXPERIMENT**] We place a marble at the top of the tube shown in the figure. The marble shoots out from the tube and lands at a distance x Q2a) Express x as a function of h₂ h and h₁ Q2b) Discuss how the marble's exiting speed (from the tube) would be affected if we raised the entire contraption shown in fig. 5 by h₂ but keeping h constant. Show work. Q2c) Prove that if h = h₁ m the marble x will be maximum.
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