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VICSpecialist MathematicsUnit 4: Calculus

Quick questions on Kinematics and rectilinear motion: VCE Specialist Mathematics Unit 4

4short 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 sign of acceleration and speeding up?
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A particle slows down when vv and aa have opposite signs, even if a>0a > 0. Do not assume positive acceleration means speeding up.
What is q1?
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A particle has x=t3−6t2+9tx = t^3 - 6t^2 + 9t. Find its velocity and the times it is at rest. [3 marks]
What is q2?
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Given a=6ta = 6t with v(0)=2v(0) = 2 and x(0)=0x(0) = 0, find x(t)x(t). [3 marks]
What is q3?
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A particle has v2=16−x2v^2 = 16 - x^2. Find its acceleration in terms of xx. [2 marks]

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