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Pushoam
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Homework Statement
Homework Equations
The Attempt at a Solution
I assume that the particle is launched along the z- axis of the x-y-z frame which is fixed with the Earth and the Earth is rotating about the x – axis.
Wrt an inertial frame, the particle will fall on A.
The arc length between P and A is the required deflection.
Now, since the Earth is rotating with constant angular velocity, PA = ## \omega R T##, where T is the time of the fall.
Wrt an inertial frame, its acceleration is g ( let's take it constant).
Then, using ## s= \frac {at^2 } { 2} ## taking the initial speed to be 0.
We have, ## T = \sqrt{\frac {2h } { g } }##.
Is this correct?
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