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A community of penguins has created a slingshot device designed to help them spot fish below the ice while airborne. Pete the penguin is lobbed from an initial height of 6 feet above the ground. Pete's trajectory is given by the equation h(x)=-0.0138x^2+0.6x+6 where h(x) is Pete's height above the ground (in feet) and x is the horizontal distance from the slingshot (in feet).

How high in the air is Pete when he is 15 feet from the slingshot?

How high in the air will Pete go?

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Solution Summary

Calculate the maximum height and a height at a certain moment described a projectory equation.

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