Question: If a person shoots a free throw from a position 8 ft above the floor, then the path of the ball may be modeled by

If a person shoots a free throw from a position 8 ft above the floor, then the path of the ball may be modeled by the parabola

— 16х? + 1.15х + 8, 0.434v2 y =


where v is the initial velocity of the ball in feet per second, as illustrated in the figure.

(x, y) 50° 10 ft 15 ft-


(a) If the basketball hoop is 10 ft high and located 15 ft away, what initial velocity v should the basketball have?

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

16? + 1.15 + 8, 0.434v2 y = (x, y) 50 10 ft 15 ft-

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