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Answer :
The acceleration of the bucket is 1.84m/s², and the direction of the acceleration is upward.
The mass of the bucket is m = 14.0 kg
The tension in the rope is T = 163N
Let a be the acceleration of the bucket.
The weight of the bucket is
W = mg
=(14.0 kg) x (9.80m/s²)
= 137.20 N
As the tension in the rope is greater than the weight, the bucket is accelerating upward.
Now, using Newton's second law,
ma = T - mg
a = 163N - 137.20N / 14.0 kg
= 1.84m/s²
Hence, the acceleration of the bucket is 1.84m/s², and the direction of the acceleration is upward.
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