UNIT 2: DERIVATIVES
... displacement and the velocity the first derivative of the displacement. Going the other way, the displacement is the double integral of the acceleration ...
Consider a basic function and how it may be represented with partial derivatives.
cross product interaction grid
Since acceleration is the time derivative of velocity, the material acceleration can be derived from the definition of material derivative as follows:
Using only direction of vector
For an alternative derivation, we can make use of the usual vector operations to express the total second derivative of the absolute position vector r.
Vector addition for vectors at any angle | Adding vectors | How to add vectors
Vector addition for perpendicular vectors | Adding vectors | How to add vectors