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ScotlandMathematics of MechanicsQuick questions

Linear and Parabolic Motion

Quick questions on Motion in three dimensions and relative velocity: vector functions, closest approach and collision - SQA Advanced Higher Mathematics of Mechanics

2short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

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A boat heads with velocity (6i)(6\mathbf{i}) km h−1^{-1} in a current (2i+3j)(2\mathbf{i} + 3\mathbf{j}) km h−1^{-1}. Find its actual velocity and speed. [2 marks]
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Two particles have relative position rB/A=(4−2t)i+(3−2t)j\mathbf{r}_{B/A} = (4 - 2t)\mathbf{i} + (3 - 2t)\mathbf{j} m. Do they collide? [3 marks]

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