The height above ground (in feet) of a ball thrown vertically into the air is given by

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The height above ground (in feet) of a ball thrown vertically into the air is given by S = 112t - 16t2 where t is the time in seconds since the ball was thrown.

(a) Graph this equation with a graphing calculator and the window t-min = -2, t max = 10; S min = - 20, S-max = 250.

(b) Estimate the time at which the ball is at its highest point, and estimate the height of the ball at that time?

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