a ball is thrown straight up into the air. the table shows the data collected over t seconds, where h(t) is…

a ball is thrown straight up into the air. the table shows the data collected over t seconds, where h(t) is the height of the ball, in feet.\nheight of ball over time\n| t | h(t) |\n|----|----| \n| 0 | 0 |\n| 1 | 64 |\n| 2 | 96 |\n| 3 | 96 |\n| 4 | 64 |\n| 5 | 0 |\nwhich statement is true?\nthe initial height of the ball is 96 feet.\nthe ball will hit the ground between 2 and 3 seconds after it was thrown.\nthe maximum height of the ball must be 96 feet.\nthe maximum height of the ball was reached 2.5 seconds after it was thrown.

a ball is thrown straight up into the air. the table shows the data collected over t seconds, where h(t) is the height of the ball, in feet.\nheight of ball over time\n| t | h(t) |\n|----|----| \n| 0 | 0 |\n| 1 | 64 |\n| 2 | 96 |\n| 3 | 96 |\n| 4 | 64 |\n| 5 | 0 |\nwhich statement is true?\nthe initial height of the ball is 96 feet.\nthe ball will hit the ground between 2 and 3 seconds after it was thrown.\nthe maximum height of the ball must be 96 feet.\nthe maximum height of the ball was reached 2.5 seconds after it was thrown.

Answer

Explanation:

Step1: Analyze initial height

When (t = 0), (h(0)=0), so the initial height is 0 feet, not 90 feet.

Step2: Analyze when the ball hits the ground

When (t = 5), (h(0)=0), so the ball hits the ground at (t = 5) seconds, not between 2 and 3 seconds.

Step3: Analyze maximum height

The height values are (h(0) = 0), (h(1)=64), (h(2)=96), (h(3)=96), (h(4)=64), (h(5)=0). The maximum value of (h(t)) in the table is 96 feet.

Step4: Analyze time of maximum - height

The ball reaches a height of 96 feet at (t = 2) seconds and (t = 3) seconds, not at (t = 2.5) seconds.

Answer:

The maximum height of the ball must be 96 feet.