M2.1.4 - Differentiating and integrating vectors

Differentiate and integrate vector-valued position functions with respect to time to obtain velocity and acceleration.

Use differentiating and integrating vectors to connect the rule to the data and decision in the question.

This matters because differentiating and integrating vectors determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply differentiating and integrating vectors to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: Differentiating and integrating vectors is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.