When a football is punted, its distance from the ground (in feet) is a quadratic

Question

When a football is punted, its distance from the ground (in feet) is a quadratic function of the time (sec) since it was kicked.

a. in this situation what are the idependent and dependent variables?

b. would the function be discrete or continuous?

c. when the ball was kicked it was four feet from the ground. One second later it was 28 feet high. two seconds later it was 20 feet high. Write a particular function to represent the football's height in terms of second since kicked.

d. on a grid sketch a graph of the function

d find the coordinates of the vertex. What do they repreesent in the problem situation?

Explanation / Answer

a. Independent is time, dependent is distance b. It seems it would be continuous. c. y = -16x2 + 40x + 4 d. graph the points e. V= (1.25, 29) this represents the max height and the time in seconds to reach the max.

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