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## Omar LO

on 6 April 2015

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#### Transcript of parabolic equation basketball

Definition of parabola in (Mathematics) is a conic section formed by the intersection of a cone by a plane parallel to its side.

Definition of vertex - the highest point; the top or apex.

Problem
Omar throws a basketball from the basketball hoop. The quadratic equation that models the path of the ball is p(t)= -16t^2 + 20t + 6. If it is 10 feet high, how long is the ball in the air before the ball goes through the hoop?
lets solve
Solve -16t^2+20t+6 = 10
-16t^2 + 20t-4 = 0
4t^2 - 5t + 1 = 0
(4t-1)(t-1) = 0
t = 1/4 or to = 1
The ball is at height of 10 ft after 1/4 second (before it
reaches its peak height) and after 1 second (when it hits the basket).