Final answer:
The linear acceleration of the bucket is equal to the acceleration due to gravity, which is approximately 9.8 m/s^2.
Step-by-step explanation:
To find the linear acceleration of the bucket, we need to use Newton's second law, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.
In this case, the only force acting on the bucket is the force due to the gravitational pull, which can be calculated using the formula F = mg, where m is the mass of the bucket and g is the acceleration due to gravity.
Since the force due to gravity is acting downwards, the linear acceleration of the bucket will be in the same direction. So the linear acceleration can be calculated as:
Acceleration = Force / Mass = mg / m = g
Thus, the linear acceleration of the bucket is equal to the acceleration due to gravity, which is approximately 9.8 m/s2.