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A balloon reses from rest on the ground ...

A balloon reses from rest on the ground with constant acceleration `g`//`8.` A stone is dropped from the balloon when the balloon has resen to a height of (H). Find the time taken by the stone to reach the ground.

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To solve the problem step by step, we need to analyze the motion of the stone after it is dropped from the balloon. ### Step 1: Determine the velocity of the balloon at height H The balloon rises with a constant acceleration of \( \frac{g}{8} \). Since it starts from rest, we can use the third equation of motion to find the velocity of the balloon when it has risen to a height \( H \). \[ v^2 = u^2 + 2a s \] ...
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