3. A particle is projected vertically upward from the surface of the rotating earth at colatitude (polar angle) 0. It rises to a height h(« R) and then falls back to the surface. Show that it 8 strikes the ground at distance osino(2h/8)* 1/2 sin@(2h/g)“ to the west of the initial position. What 3 is its westward displacement at its maximum height?

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angle 0 given by the expression
a
tane
3. A particle is projected vertically upward from the surface of the rotating earth at colatitude
(polar angle) 0. It rises to a height h(« R) and then falls back to the surface. Show that it
8
1/2
strikes the ground at distance o sino(2h/g)* to the west of the initial position. What
3
is its westward displacement at its maximum height?
Transcribed Image Text:angle 0 given by the expression a tane 3. A particle is projected vertically upward from the surface of the rotating earth at colatitude (polar angle) 0. It rises to a height h(« R) and then falls back to the surface. Show that it 8 1/2 strikes the ground at distance o sino(2h/g)* to the west of the initial position. What 3 is its westward displacement at its maximum height?
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