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2. An aspiring juggler realizes that the acceleration due to gravity can be measured simply by...

2. An aspiring juggler realizes that the acceleration due to gravity can be measured simply by comparing the time interval an object spends above a certain height when tossed vertically upwards to the total time it is in the air. Suppose she tosses a small ball vertically upwards and catches it a moment later (after a time ∆T elapses) at the same height it was released. In flight, the ball spends a time interval ∆t above a certain height H (where H is smaller than the maximum extent of its vertical displacement). Determine an expression for the acceleration due to gravity in terms of ∆T, ∆t, and H.

Please I need help with this problem and make sure you show the work in step by step solution and please make it clear so i can read it

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