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. 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.
Question
Answer:
β’ The ball is at the same height as the building between 8 and 10 seconds after it is thrown. TRUE - the height is zero somewhere in that interval, hence the ball is the same height from which it was thrown, the height of the roof of the building.β’ The height of the ball decreases and then increases. FALSE - at t=2, the height is greater than at t=0.
β’ The ball reaches its maximum height about 4 seconds after it is thrown. TRUE - the largest number in the table corresponds to t=4.
β’ The ball hits the ground between 8 and 10 seconds after it is thrown. FALSE - see statement 1.
β’ The height of the building is 81.6 meters. FALSE - the maximum height above the building is 81.6 meters. Since the ball continues its travel to a distance 225.6 meters below the roof of the building, the building is at least that high.
1. TRUE
2. False
3. TRUE
4. False
5. False
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11 months ago
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