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Acceleration in 2D

Two balls A a...

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Two balls A and B are thrown vertically upwards from the same location on the surface of the earth with velocities 2 \sqrt{gR÷} and \sqrt{2gR÷3} respectively, whre R is the radius of the earth and g is the acceleration due to gravity on the surface of the earth. determine the ratio of the maximum height attained by A to that attained by B.

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