A.6.6.2 Tracking a Cannonball

Earlier, you completed a table that represents the height of a cannonball, in feet, as a function of time, in seconds, if there was no gravity. This table shows the actual heights of the ball at different times with gravity. Here is the completed table with the heights with no gravity Compare the values in these tables. Make at least 2 observations.

Plot the two sets of data you have on the same coordinate plane below. How are the two graphs alike? How are they different?

The equation below models the actual distance d, in feet, of the ball t seconds after it was fired from the cannon.

d = 10 + 406t - 16t2

This was the equation when there was no gravity: d = 10 + 406t What do you think the 10, 406t, and -16t2 mean in the situation with gravity? If you get stuck, consider the differences in distances and the effects of gravity from lesson 5.