Posted by help :) on .
Spud McTator climbs his sailboat's mast while anchored. He fires his potato gun. The height of the potato above the ocean is given by: h=0.002X*2+2X=22. Where X is the horizontal distance from the keel of the boat. How far from the keel is the height of the potato a maximum? Find the maximum height of the potato.
I assume you mean
h = 0.002x^2 + 2x + 22
however, that makes no sense, since the height will be forever increasing. Perhaps you meant
h = -.002x^2 + 2x + 22
That would indicate the potato was fired from a height of 22 at a velocity of 2. Must be on an asteroid, though, since the downward acceleration is so small.
Anyway, using the above equation, we have roots at -10.88 and 1010.88, making the midpoint at x=500.
h(500) = 522
If I made bad assumptions, fix them and plug in your numbers.