Zero Gravity

A body is dropped from height hh meters. The gravitational field is nullified after the body travels half the distance. Concretely, when the body reaches h/2h/2, then g0g \rightarrow 0. Find an expression for the time taken by the body to reach the ground.

If you get the answer as abhg\frac { a }{ b } \sqrt { \frac { h }{ g } }, where aa and bb are coprime integers, find (a+b)31{ (a+b) }^{ 3 }-1

Given that aa and bb are co prime natural numbers.

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