To calculate the average acceleration of the ball during the fall, we can use the kinematic equation:
v = u + at,
where: v = final velocity = 14 m/s (velocity when it hits the ground), u = initial velocity = 0 m/s (since the ball is dropped and not thrown), a = acceleration, t = time = 1.42 s.
We can rearrange the equation to solve for acceleration (a):
a = (v - u) / t.
Substituting the given values:
a = (14 m/s - 0 m/s) / 1.42 s,
a = 9.86 m/s².
Therefore, the average acceleration of the ball during the fall is approximately 9.86 m/s².