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 u
pward. 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.
• 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.
• The height of the ball decreases and then increases. FALSE - at t=2, the height is greater than at t=0.
• The ball reaches its maximum height about 4 seconds after it is thrown. TRUE - the largest number in the table corresponds to t=4.
• The ball hits the ground between 8 and 10 seconds after it is thrown. FALSE - see statement 1.
• 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.
