analyzing a table and interpreting in context\nthe table represents the height of a ball thrown up from the…

analyzing a table and interpreting in context\nthe 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.\nwhich statements are true? check all that apply.\nthe ball is at the same height as the building between 8 and 10 seconds after it is thrown.\nthe height of the ball decreases and then increases.\nthe ball reaches its maximum height about 4 seconds after it is thrown.\nthe ball hits the ground between 8 and 10 seconds after it is thrown.\nthe height of the building is 81.6 meters.\nt h(t)\n0 0\n2 60.4\n4 81.6\n6 63.6\n8 6.4\n10 -90\n12 -225.6

analyzing a table and interpreting in context\nthe 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.\nwhich statements are true? check all that apply.\nthe ball is at the same height as the building between 8 and 10 seconds after it is thrown.\nthe height of the ball decreases and then increases.\nthe ball reaches its maximum height about 4 seconds after it is thrown.\nthe ball hits the ground between 8 and 10 seconds after it is thrown.\nthe height of the building is 81.6 meters.\nt h(t)\n0 0\n2 60.4\n4 81.6\n6 63.6\n8 6.4\n10 -90\n12 -225.6

Answer

Explanation:

Step1: Analyze height at (t = 0)

At (t = 0), (h(0)=0), which means the starting - point (height of the building) is at height (0) meters.

Step2: Observe height changes

The height values first increase from (h(0) = 0) to (h(4)=81.6) and then decrease.

Step3: Check height at different times

At (t = 8), (h(8)=6.4) and at (t = 10), (h(10)= - 90). A negative height means the ball has hit the ground. Since the height is positive at (t = 8) and negative at (t = 10), the ball hits the ground between 8 and 10 seconds. Also, the maximum height is (81.6) meters which occurs at (t = 4) seconds.

Answer:

  • 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.