Warm Up
A cannon is 10 feet off the ground. It launches a cannonball straight up with a velocity of 406 feet per second.
Imagine that there is no gravity and that the cannonball continues to travel upward with the same velocity.
1. Answer questions a–f using the table with the heights of the cannonball at different times.
Seconds | Distance above ground (feet) |
0 | 10 |
1 | a. _____ |
2 | b. _____ |
3 | c. _____ |
4 | d. _____ |
5 | e. _____ |
f. _____ |
a. How far above the ground is the cannonball at 1 second?
The cannonball is 416 feet above the ground at 1 second.
b. How far above the ground is the cannonball at 2 seconds?
The cannonball is 822 feet above the ground at 2 seconds.
c. How far above the ground is the cannonball at 3 seconds?
The cannonball is 1,228 feet above the ground at 3 seconds.
d. How far above the ground is the cannonball at 4 seconds?
The cannonball is 1634 feet above the ground at 4 seconds.
e. How far above the ground is the cannonball at 5 seconds?
The cannonball is 2040 feet above the ground at 5 seconds.
f. How far above the ground is the cannonball at seconds?
Compare your answer:
The cannonball is feet above the ground at seconds.
2. Write an equation to model the distance in feet, , of the ball seconds after it was fired from the cannon, if there was no gravity.
Compare your answer: