Quick questions on Vector calculus and kinematics: VCE Specialist Mathematics Unit 4

3short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is q1?

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Given

\mathbf{r}(t) = t^3\mathbf{i} + t\mathbf{j}

, find

\mathbf{v}(t)

. [2 marks]

What is q2?

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Find the speed of a particle with velocity

3\mathbf{i} - 4\mathbf{j}

. [1 mark]

What is q3?

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\mathbf{a}(t) = 2\mathbf{i}

and

\mathbf{v}(0) = \mathbf{j}

, find

\mathbf{v}(t)

. [2 marks]

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