To find the time it takes for the fruit to reach the ground level, we can use the equation of motion:
s = ut + (1/2)at^2
Where:
s = distance (20m in this case)
u = initial velocity (0m/s since the fruit starts from rest)
a = acceleration due to gravity (-9.8m/s^2, assuming no air resistance)
t = time
Since the fruit falls vertically downward, we can take the initial velocity as zero and the equation simplifies to:
s = (1/2)at^2
Now we can rearrange the equation to solve for time (t):
t^2 = 2s/a
t = √(2s/a)
Plugging in the values:
t = √(2 * 20 / 9.8)
t ≈ 2.02 seconds
Therefore, it takes approximately 2.02 seconds for the fruit to reach the ground level.