The total time it is in the air for the ball is 3.672 s
Given:
Initial velocity = 18 m/s
We have to find the total time the ball is in the air.
By using the formula, we get,
t = v - u/a
Where t = time to reach the maximum height
v = final velocity of the ball = 0 m/s
u = initial velocity of ball = 18 m/s
a = acceleration due to gravity = -9.8
Acceleration of gravity is taken as negative because the ball is moving in the opposite direction.
t = 0 - 8/-9.8
t = 1.836 sec
Thus, time is taken by the ball to reach the ground again = time taken to reach the maximum height
So, the Total time required for the ball to reach the ground = 2t = 2 × 1.836
Total time required for the ball to reach the ground = 3.672 s
Hence, the total time it is in the air for the ball is 3.672 sec.
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