Jose bautista hits a baseball that travels for 142m before it lands. The flight of the ball can be modelled by a quadratic function in which x is the Horizontal distance the ball has travelled away from jose, and h(x) is the height Vertical distance of the ball at that distance.
Assume that the ball was between 0.6m and 1.5m above the ground when it was hit.
1. Explain why each function is not a good model of the situation and support your answer with a labelled sketch.
a) h(x)= -0.5x (x-142)
b) -0.5x^2+ 71x + 1
c) -0.0015x^2 + 0.213x + 1.2
2. Determine an equation that models the path of the ball.
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