SOLUTION: When Ms. Bibbi kicked a soccer ball, it traveled a horizontal distance of 150 feet and reached a height of 100feet at its highest point. Sketch the path of the soccer ball and find

Question 875239: When Ms. Bibbi kicked a soccer ball, it traveled a horizontal distance of 150 feet and reached a height of 100feet at its highest point. Sketch the path of the soccer ball and find an equation of the parabola that models it.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
In physics class they teach you that the trajectory of an object is a parabola when
the object is close enough to Earth's surface,
it had some initial horizontal velocity,
and the only force acting on that object is gravity.

The path (with x as the horizontal distance and y as the height) looks like this:

and
And, of course, the maximum for occurs halfway between those two points,
at .
At that point, .
As a second degree polynomial function with zeros at and ,
the function can be written, in factored form as
or .
To find the constant we use the fact that .

That fraction can be simplified before we start multiplying away.

So the equation of the parabola is
---> ---> .
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