You can model the motion of a pumpkin released from a catapult using a vertical motion model. A vertical motion model is a quadratic equation that models the height of an object at a given time. The equation is of the form shown. y = -16t2 + vit + ho In this equation, y represents the height of the object in feet, t represents the time in seconds that the object has been moving, v. represents the initial vertical velocity (speed) of the object in feet per second, and h represents the initial height of the object in feet. 14. What characteristics of this situation indicate that it can be modeled by a quadratic function? Suppose that a catapult hurls a pumpkin from a height of 68 feet at an initial vertical velocity of 128 feet per second. 15. Write a function for the height of the pumpkin, h(t), in terms of time t. 16. Does the function have a minimum or a maximum? How can you tell