Assignment:
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?
Provide complete and step by step solution for the question and show calculations and use formulas.