What is the Mathematical Definition of Differential of Acceleration?

Thread starter Ali Asadullah
Start date Jun 14, 2010
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Acceleration Differential

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The mathematical definition of the differential of acceleration is discussed in terms of its relationship to derivatives. It is clarified that while acceleration is defined as a = dv/dt, the differential of acceleration can be expressed as da/dt, which corresponds to the second derivative of position with respect to time. However, this is often referred to as jerk, not the differential itself. The term "da" is suggested to be more relevant in the context of integrals where acceleration is treated as a variable of integration. Understanding these distinctions is crucial for accurate mathematical representation in physics.

Jun 14, 2010

Ali Asadullah

We know that a=dv/dt but what is differential of acceleration. Mathematically is it second derivative or simply d(dv)/dt.

(I am not asking about derivative of acceleration which is jerk)

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Jun 14, 2010

mathman

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da/dt = d²a/dt², which is jerk. da as such would only be used as part of the definition of an integral where a is the variable of integration.

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