Question 313975
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You can do this one in your head.  y will equal 6 whenever *[tex \LARGE -16x^2\ +\ 48x\ =\ 0].  Obviously the first time this occurs is at time zero, just when the ball is thrown.  The next time is 48 divided by 16 or 3 seconds.  By symmetry, the maximum height is reached halfway between 0 and when the ball returns to 6 feet, namely *[tex \LARGE \frac{3}{2}] seconds.  The height will be -36 + 96 = 60 feet.


John
*[tex \Large e^{i\pi}\ +\ 1\ =\ 0]
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