Mathematics

15 July, 19:06

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) / (0.434v^2) + 1.15x+8 , 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 1717 ft away, what initial velocity v should the basketball have?

(b) What is the maximum height of the basketball?

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