MHB Solving B(ii) Problems: A Quick Guide

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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.
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Integrate -0.5t^2+ 5t- 0.98 from 0.2 to 5.
 
How did you know to use integration
 
markosheehan said:
How did you know to use integration

What is the relationship between displacement and velocity?
 
HallsofIvy said:
Integrate -0.5t^2+ 5t- 0.98 from 0.2 to 5.
Because I know that "velocity" is the rate of change (derivative) of "position" (that MarkFL is referring to as "displacement").

Besides, you titled this thread "integration"! How did you know to do that?
 
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