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. which statement is true? height of ball over time t h(t) 0 0 1 64 2 96 3 96 4 64 5 0 the initial height of the ball is 96 feet. the ball will hit the ground between 2 and 3 seconds after it was thrown. the maximum height of the ball must be 96 feet. the 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. which statement is true? height of ball over time t h(t) 0 0 1 64 2 96 3 96 4 64 5 0 the initial height of the ball is 96 feet. the ball will hit the ground between 2 and 3 seconds after it was thrown. the maximum height of the ball must be 96 feet. the maximum height of the ball was reached 2.5 seconds after it was thrown.

Answer

Explanation:

Step1: Check initial height

When (t = 0), (h(0)=0), so the initial height is 0 feet, not 96 feet.

Step2: Check when ball hits ground

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

Step3: Analyze maximum - height time

The height is 96 feet at (t = 2) and (t = 3). Since the motion of the ball is symmetric (a parabola - like motion for vertical motion under gravity), the maximum height is reached at (t=\frac{2 + 3}{2}=2.5) seconds.

Answer:

The maximum height of the ball was reached 2.5 seconds after it was thrown.