Final answer:
The question involves calculating potential energy, kinetic energy, and maximum velocity of a moving body using physics formulas, while correcting misconceptions about energy transformation at different points of motion.
Step-by-step explanation:
The question posed involves concepts from physics, specifically concerning energy transformations and dynamics of a moving body. When addressing part (a) of the question regarding potential energy at point A, we utilize the potential energy formula PE = mgh, where m is mass, g is acceleration due to gravity, and h is height. Part (b) involving the kinetic energy at point B requires the kinetic energy formula KE = ½mv², where m is mass, and v is velocity. As for part (c) regarding maximum velocity, we would need to apply conservation of energy principles, where the maximum kinetic energy, and hence maximum velocity, occurs when potential energy is at its lowest.
It's important to clarify misinformation from the referenced notes. Contrary to what one note suggests, kinetic energy is at its maximum and potential energy at its minimum at the bottom of the slope, not the other way around. Additionally, the total work done on an object is indeed the change in its kinetic energy, assuming no other forces such as friction are doing work. Thus, when considering conservation of energy, we can equate potential energy at the start with kinetic energy at the end to find the distance or velocity.