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VICSpecialist MathematicsQuick questions

Unit 4: Vectors

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

6short 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 velocity?
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Differentiate each component:
What is speed?
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The magnitude of the velocity:
What is acceleration?
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Differentiate velocity:
What is q1?
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Given r(t)=t3i+tj\mathbf{r}(t) = t^3\mathbf{i} + t\mathbf{j}, find v(t)\mathbf{v}(t). [2 marks]
What is q2?
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Find the speed of a particle with velocity 3i−4j3\mathbf{i} - 4\mathbf{j}. [1 mark]
What is q3?
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If a(t)=2i\mathbf{a}(t) = 2\mathbf{i} and v(0)=j\mathbf{v}(0) = \mathbf{j}, find v(t)\mathbf{v}(t). [2 marks]

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