Question: The general model for the height of an object falling through the air (neglecting air resistance) after t seconds is approximately h(t) = -,t +

The general model for the height of an object falling through the air (neglecting air resistance) after t seconds is approximately h(t) = -,t + vot+ ho, where h(t) is in feet, g is the acceleration due to gravity, vo is a constant representing the initial velocity of the object and ho is the initial height. Assume that all constants are positive. Then the maximum height occurs at tvertex = UO Answer the following questions and justify your answers. a) Verify the stated location of the maximum. b) Find the maximum height of h(t) in terms of g, vo, and/or ho. c) If g is doubled, what happens to the location of the maximum of h? What happens to the maximum of h

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