# math

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a baseball player hits sa pitch when the ball is 2 feet off the ground. two hundred feet from the plate, the ball reaches its maximum height of 82 feet. will the ball clear the home run wall that is 10 feet high and 380 feet from home plate?

• math -

Are we to assume that the path of the ball follows a quadratic function ?
If so, then (200,82) would be the vertex.

let the equation be y = a(x-200)^2 + 82

when x = 0, y = 2
2 = a(-200)^2 + 82
a = -1/500

so y = (-1/500)(x-200)^2 + 82

when x = 380
y = (-1/500)(380-200)^2 + 82 = 17.2
which is more than 10 feet

so , yes, it will clear the home run wall

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