A man throws a ball off the top of a building and records the height of the ball at different times, as shown in the table.
a. Find a quadratic model for the data.
b. Use the model to estimate the height of the ball at 2.5 seconds.
c. What is the ball's maximum height?
Height of a Ball
Time (s) Height (ft)
0
46
1
60
2.
45
3
1
a. Let x be the number of seconds after release and let y be the height in feet.
A quadratic model for the data is