The table represents the height of a ball thrown up from the roof of a building, h(t), in meters, t seconds after it is thrown upward. A 2-column table with 7 rows. The first column is labeled t with entries 0, 2, 4, 6, 8, 10, 12. The second column is labeled h(t) with entries 0, 60.4, 81.6, 63.6, 6.4, negative 90, negative 225.6. Which statements are true? Check all that apply. The ball is at the same height as the building between 8 and 10 seconds after it is thrown. The height of the ball decreases and then increases. The ball reaches its maximum height about 4 seconds after it is thrown The ball hits the ground between 8 and 10 seconds after it is thrown. The height of the building is 81.6 meters.
Answers
Given : The table represents the height of a ball thrown up from the roof of a building, h(t), in meters, t seconds after it is thrown upward
To Find : Which statements are true? Check all that apply.
The ball is at the same height as the building between 8 and 10 seconds after it is thrown.
The height of the ball decreases and then increases.
The ball reaches its maximum height about 4 seconds after it is thrown The ball hits the ground between 8 and 10 seconds after it is thrown.
The height of the building is 81.6 meters.
Solution:
t h(t)
0 0
2 60.4
4 81.6
6 63.6
8 6.4
10 -90
12 -225.6
The ball is at the same height as the building when Height is 0 as height is measured from building height
0 is at t = 0
and 0 is 6.4 & - 90 Hence between 8 & 10 sec
The ball is at the same height as the building between 8 and 10 seconds after it is thrown - TRUE
The height of the ball decreases and then increases False
as its 1st increases and then decreases
The ball reaches its maximum height about 4 seconds after it is thrown
TRUE as in table max value 81.6 at 4 sec
Ball goes till - 225.6 Hence minimum height of Building is 225.6 m
The ball hits the ground between 8 and 10 seconds after it is thrown. - FALSE
The height of the building is 81.6 meters - FALSE
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Answer:
It's just A and B
Step-by-step explanation:
The ball is at the same height as the building between 8 and 10 seconds after it is thrown.
The ball reaches its maximum height about 4 seconds after it is thrown