Question 633248
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(a) the constant term is the initial height.


(b) the horizontal distance traveled at the time when the ball is at maximum height is the value of the independent variable at the vertex of the graph of the parabola described by the function.  


The x-coordinate of the vertex of a parabola where the function is in *[tex \LARGE \rho(x)\ =\ ax^2\ +\ bx\ +\ c] form is given by *[tex \LARGE \frac{-b}{2a}].  The maximum height is then the value of the function at that point.  You can do your own arithmetic.


(c) The punt is over when the ball hits the ground, i.e. when the height is zero.  Set the function equal to zero and solve the quadratic.  Discard any negative root.


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
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