Answer:
The acceleration of the ball is 3.64 m/s^2 (3.64 meters per second squared)
Step-by-step explanation:
We use Newton's second law to solve this problem, considering that the net force on the ball is the upward force applied via the string, minus the downward force of gravity due to the ball's mass:
Fnet = 33.6 - 2.5 (9.8) = 9.1 N
then the ball's acceleration (a) will be:
Fnet = m * a
9.1 N = (2.5 kg) * a
a = (9.1/2.5) m/s^2 = 3.64 m/s^2