Final answer:
The student's question cannot be fully answered without the breaking tension of the fishing line, which is needed to determine the maximum speed the lead fishing weight can have without breaking the line.
Step-by-step explanation:
The student's question is about determining the maximum speed a lead fishing weight can have without breaking the fishing line when whirled in a vertical circle. To solve this problem, one must consider the tension in the string and use physics principles related to circular motion, such as centripetal force. Unfortunately, the question does not provide the breaking tension of the fishing line, which is a crucial piece of information. Without the maximum tension the fishing line can withstand, we cannot compute a specific maximum speed for the weight.
In general, the maximum speed (v) can be found using the formula for centripetal force: F = mv2/r, where F is the tension in the fishing line (which equals the breaking tension in this case), m is the mass of the weight, and r is the radius of the circular path. However, since the breaking tension is not given, we would need that information to proceed further.