A ball is thrown vertically upward with an initial speed of (80 mathrm{ft} / mathrm{sec}) from the
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A ball is thrown vertically upward with an initial speed of \(80 \mathrm{ft} / \mathrm{sec}\) from the base \(A\) of a \(50-\mathrm{ft}\) cliff. Determine the distance \(h\) by which the ball clears the top of the cliff and the time \(t\) after release for the ball to land at \(B\). Also, calculate the impact velocity \(v_{B}\). Neglect air resistance and the small horizontal motion of the ball.
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