- #1
Blueberry91
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Homework Statement
In an over hand serve, the ball starts from a point 2m above the ground and travels a horizontal distance of 20m before it strikes the floor.
The ball travels in a parbolic path and reaches its highest point after traveling a horizontal distance of 9m as show in the link below:
http://img407.imageshack.us/my.php?image=asdaq2.jpg
http://img407.imageshack.us/img407/7919/asdaq2.jpg
http://g.imageshack.us/img407/asdaq2.jpg/1/
Determine the equation of the parabola in the form y-k=a(x-9)^2
Homework Equations
y-k=a(x-h)^2
The Attempt at a Solution
Well i know that the ball reaches its maximum height 9 feet from
where it was served. If we let x=0 be where the ball was served,
then we know the x coordinate of the vertex is 9, so the equation is
of the form
y-k=a(x-9)^2
To finish the equation precisely, I need to determine the values of
a and k. To do that, I need two equations relating the values of a
and k. But the given information provides with what I need to
write those two equations --I know the x and y values (1) where
the ball was served and (2) where it hit the ground.
but I'm still confused ! i could use some help:)
could somebody solve it for mee pleaaase??
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