Complete the following questions to practice the skills you have learned in this lesson.
- A rocket is launched in the air and its height, in feet, is modeled by the function .
Here is a graph representing .
Select three true statements about the situation.
- The rocket is launched from a height less than 20 feet above the ground.
- The rocket is launched from about 20 feet above the ground.
- The rocket reaches its maximum height after about 3 seconds.
- The rocket reaches its maximum height after about 160 seconds.
- The maximum height of the rocket is about 160 feet.
- A baseball travels meters seconds after being dropped from the top of a building. The distance traveled by the baseball can be modeled by the equation .
Use this table to answer questions a–g.
(seconds) | (meters) |
---|---|
0 | |
0.5 | |
1 | |
1.5 | |
2 |
Table
7.5.0
- How many meters ) did the baseball travel in 0 seconds ()?
- How many meters ) did the baseball travel in 0.5 seconds ()?
- How many meters () did the baseball travel in 1 second ()?
- How many meters () did the baseball travel in 1.5 seconds ()?
- How many meters () did the baseball travel in 2 seconds ()?
- Is this graph an accurate representation of the data in the table?
-
No
-
Yes
- Is the baseball traveling at a constant speed?
-
No
-
Yes
- A small ball is dropped from a 100-foot-tall building. Which equation could represent the ball’s height, , in feet, relative to the ground, as a function of time, , in seconds?