If a person shoots a basketball overhand from a position 8ft above the floor, then the path of the basketball through the hoop can be modeled by the parabola y = (-19x2/.434v2) + 1.15x2 + 8, where v is the initial velocity of the ball in ft/sec, y is the height of the ball, and x is the distance away from the person. a) if the basketball hoop is 10ft high and located 10ft away, what initial velocity v should the basketball have ____ ft/sec b) what is the maximum height of the basketball

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 38E
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If a person shoots a basketball overhand from a position 8ft above the floor, then the path of the basketball through the hoop can be modeled by the parabola

y = (-19x2/.434v2) + 1.15x2 + 8, where v is the initial velocity of the ball in ft/sec, y is the height of the ball, and x is the distance away from the person.

a) if the basketball hoop is 10ft high and located 10ft away, what initial velocity v should the basketball have ____ ft/sec

b) what is the maximum height of the basketball

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