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A basketball player shoots a free throw from the foul line. The equation of the path it will travel is h = -4.9t2 + 18t + 1.2 which gives the approximate height, h, of the basketball in meters after t seconds.  When does the ball reach its maximum height?

 Jan 8, 2022
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We're trying to optimize the quadratic, to do this we must complete the square. 

The equation should turn out in the form of 

h = -a(x + b)^2  + c

Since -a(x + b)^2 must be non positive, it can at most be 0, when x = -b. 

So the height maximized is c. 

 

=^._.^=

 Jan 9, 2022

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