The discussion centers on the correct notation for expressing acceleration in relation to velocity, specifically addressing the equation \(\vec{a} = \dot{v}\). Participants confirm that while acceleration can be represented as the time derivative of velocity, the correct notation must reflect that velocity is a vector, leading to the accurate expression \(\vec{a} = \dot{\vec{v}}\) or \(\vec{a} = \frac{d\vec{v}}{dt}\). This clarification emphasizes the importance of using vector notation in physics to avoid misinterpretation.
PREREQUISITESStudents of physics, educators teaching kinematics, and professionals in engineering or applied sciences who require a solid understanding of vector notation and its implications in motion analysis.
tolove said:I'm wanting to write,
[itex]\vec{a}[/itex] = [itex]\dot{v}[/itex]
But I don't think this is entirely correct. Is there a standard shorthand for this?