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Answer:
When kicked, the height of the ball is 1 feet. The highest point for the ball's trajectory is 12 feet.
Step-by-step explanation:
We are given that the height is given by . The distance between the ball to the point where it was kicked is 0 right at the moment the ball was kicked. So, the height of the ball, when it was kicked is f(0) = -0.11*0 + 2.2*0 +1 = 1.
To determine the highest point, we will proceed as follows. Given a parabola of the form x^2+bx + c, we can complete the square by adding and substracting the factor b^2/4. So, we get that
.
In this scenario, the highest/lowest points is
We will complete the square for . In this case b=-20, so
We can distribute -0.11 to the number -100, so we can take it out of the parenthesis, then
So, the highest point in the ball's trajectory is 12 feet.