To solve the B(ii) problem, integration is used to find the displacement from the given velocity equation, -0.5t^2 + 5t - 0.98, over the interval from 0.2 to 5. The relationship between displacement and velocity is that velocity represents the rate of change of displacement, which is why integration is applicable here. Participants clarify that understanding this relationship is crucial for determining when to use integration in physics problems. The discussion emphasizes the importance of recognizing the context of the problem to apply the correct mathematical method. Mastering these concepts is essential for solving similar problems effectively.