Answer: Assuming a frictionless, massless pulley, the acceleration of the blocks once they are released from rest can be determined using the equation for acceleration:
a = F/m
where a is the acceleration, F is the force acting on the object, and m is the mass of the object.
In this case, the force acting on the blocks is the force of gravity, which is equal to the weight of the blocks. The weight of an object is equal to the mass of the object multiplied by the acceleration due to gravity, which is 9.8 m/s^2 on Earth. Therefore, the force acting on the blocks is equal to the mass of the blocks multiplied by 9.8 m/s^2.
The acceleration of the blocks will be equal to the force acting on them divided by the mass of the blocks. This means that the acceleration of the blocks will be equal to their weight divided by their mass.
Therefore, to determine the acceleration of the blocks once they are released from rest, you will need to know their mass and their weight. Once you have this information, you can use the equation a = F/m to calculate their acceleration.