Final answer:
To determine the velocity of block A when end B is pulled down at a speed of 1.5 m/s, we need to know the mechanical advantage of the pulley system. In a 1:1 pulley system, block A would also rise at 1.5 m/s, but more complex systems require additional information for an accurate answer.
Step-by-step explanation:
The question provided requires an understanding of pulley systems and kinematics in physics. The information given does not directly relate to the specific question about the velocity of block A when end B of the rope is pulled down with a speed; however, we can deduce the concepts needed to solve similar problems. If we assume a pulley system with a simple 1:1 ratio where pulling on one side of the pulley results in a direct movement on the other side at the same speed, then if end B is pulled down at 1.5 m/s, block A would also rise with a velocity of 1.5 m/s.
But since the scenario may involve a more complex pulley system, additional information such as the pulley's mechanical advantage or arrangement would be required to determine the exact velocity of block A. Mechanical advantage and the conservation of energy principles are typically used to solve for efficiency or velocity in pulley systems.