Answer
(a) See graph, $n=2$
(b) $y = -16x^2 + 51.843x + 4.2071$
(c) $0.34s$
(d) $46.2ft$
Work Step by Step
(a) Draw a scatter plot of the data. What degree polynomial is appropriate for modeling the data?
See graph, it seems a quadratic equation would give a good fit.
(b) Find a polynomial model that best fits the data, and graph it on the scatter plot.
See graph. $y = -16x^2 + 51.843x + 4.2071$
(c) Find the times when the ball is 20 ft above the ground.
When $y=20ft$, we can find $x=0.34s$
(d) What is the maximum height attained by the ball?
The maximum height of $46.2ft$ happens when $x=1.6s$
