The maximum height the ball reaches is 65.92 m.
The time taken for the ball to reach the maximum height is 3.06 seconds.
The time taken for the ball to hit the ground is 6.12 seconds.
<h3>maximum height the ball reaches</h3>
The maximum height the ball reaches is calculated as follows;
s(t) = -4.9t² + 30t + 20
at maximum height, final velocity = 0
v = 0
ds/dt = -9.8t + 30 = 0
9.8t = 30
t = 30/9.8
t = 3.06 seconds
s(3.06) = -4.9(3.06)² + 30(3.06) + 20
s(3.06) = 65.92 m
Thus, the time taken for the ball to reach the maximum height is 3.06 seconds.
<h3>Time of flight of the ball</h3>
The time taken for the ball to hit is the total time of flight = 2 x 3.06 seconds = 6.12 seconds.
Thus, the maximum height the ball reaches is 65.92 m.
The time taken for the ball to reach the maximum height is 3.06 seconds.
The time taken for the ball to hit the ground is 6.12 seconds.
Learn more about maximum height here: brainly.com/question/12446886
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