Kinematic Particle Homework: Deriving a_r and a_theta

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AI Thread Summary
The discussion revolves around deriving the radial and tangential components of acceleration (a_r and a_theta) in a kinematic particle problem. There is confusion regarding the definitions of velocity and acceleration, particularly whether the question is asking for the magnitude of the velocity vector or its direction. The participants clarify that the provided acceleration is only the radial component, which does not equate to the total acceleration. There is a debate about whether the radial acceleration can be considered the total acceleration, highlighting the need for precise definitions in the problem statement. Overall, the conversation emphasizes the importance of clarity in kinematic equations and their components.
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Homework Statement



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Homework Equations


Formulas for a_r and a_theta.

The Attempt at a Solution


I got the second derative of r but I think the fluxie v is a mistake. I am sure that
\dot{v} =a\, right?
 
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The statement of the question is rather unclear. If v is the velocity, dv/dt is a vector, but it doesn't ask about the direction. Maybe it means to ask for ##|\dot{\vec v}|##.
The given acceleration appears to be the radial component only, so is not the same as either ##|\dot{\vec v}|## (the total acceleration) or ##\ddot r##.
 
Yes but the radial acceleration is the total acceleration a =a _r so it should be the same right?
 
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