Question

Polynomial Functions in context. a. A baseball is struck such that its position on a plane perpendicular to home plate can be described by the equation y = -1/250(x - 175)^2 + 121, where x is the horizontal distance from the plate in feet and y is the vertical distance also in feet
Determine the position of the ball when it is at its highest point.​

Answer 1

The position of the ball when it is at its highest point is 121

Polynomial function

Given the polynomial function expressed as y = -1/250(x - 175)^2 + 121,

The velocity of the ball at the maximum point is zero. Hence;

dy/dx = -1/125(x-175)

Equating to zero;

0 = -1/125(x - 175)

x = 175

Substitute into the function to get the maximum height

y = -1/250(175 - 175)^2 + 121,

y = 121

Hence the position of the ball when it is at its highest point is 121

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