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Question:
Why should we take the uniform acceleration of a body equal to 'g;' at every height though the value of 'g' changes as the height changes?
Answer:

In a vertical motion of an object, we take gravitational acceleration g constant, because the maximum height we consider in our numerical problems are not so high.

Yes its true that the value of g changes when we go high or go in depth of the earth,but this change in g actually comes for higher altitudes.

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