Question

Define escape velocity. Derive an expression for the escape velocity of an object from the surface of the earth. Does it depend on the location from where it is projected?

Answer 1

the area highlighted is expression derived for escape velocity..it is te velocity at which an object should be projected towards the sky so that it can overcome the gravitational force of earth. may be it doesn't depend on place considering earth an uniform sphere. it is also noticed that at te poles there is a little change in pull produced by earth...

Hope it helped..
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Answer 2

$\textbf{Answer :}$



$\huge\textbf{Escape Velocity :}$



It is the minimum velocity required by an object to escape from gravitational field of a planet such that it never comes back.



$\textbf{Derivation is in Attachment !!}$

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