A projectile is launched horizontally from a cliff of height h with an initial speed such that the horizontal range of the ball is equal to the height of the cliff. (a) Find the initial speed of the ball, vo, in terms of the cliff height h. (b) Suppose the ball is launched east from a point in the northern hemisphere on earth with latitude A. Find the lateral (sideways) deflection. Express your answer as Ar = wh3/2 g!/2 fi(A)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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A projectile is launched horizontally from a cliff of height h with an initial speed such that the horizontal
range of the ball is equal to the height of the cliff.
(a) Find the initial speed of the ball, vo, in terms of the cliff height h.
(b) Suppose the ball is launched east from a point in the northern hemisphere on earth with latitude A. Find
the lateral (sideways) deflection. Express your answer as
Ar
wh3/2
g/2 fi(A)
where w is the earth's angular velocity and f1(A) is a dimensionless function of the latitude.
(C) Find the change in the horizontal range of the ball. Express your answer as
wh3/2
f2(A)
AR=
gl/2 -
where f2(A) is a dimensionless function of the latitude.
Transcribed Image Text:A projectile is launched horizontally from a cliff of height h with an initial speed such that the horizontal range of the ball is equal to the height of the cliff. (a) Find the initial speed of the ball, vo, in terms of the cliff height h. (b) Suppose the ball is launched east from a point in the northern hemisphere on earth with latitude A. Find the lateral (sideways) deflection. Express your answer as Ar wh3/2 g/2 fi(A) where w is the earth's angular velocity and f1(A) is a dimensionless function of the latitude. (C) Find the change in the horizontal range of the ball. Express your answer as wh3/2 f2(A) AR= gl/2 - where f2(A) is a dimensionless function of the latitude.
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