If a person shoots a basketball overhand from a position 8 feet above the​ floor, then the path of the basketball through the hoop can be modeled by the parabola y=−16x^2         +1.15x+8        0.434v^2 where v is the velocity of the ball in​ ft/sec, y is the height of the hoop and x is the distance away from the hoop. ​(a) If the basketball hoop is 10 ft high and located 11ft​ away, what initial velocity v should the basketball​ have? ​(b) What is the maximum height of the​ basketball?

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