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NSW HSC Maths - Standard 1

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Velocity and Acceleration as Derivatives

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Topics covered

  • Q 1 Motion and Rates (Year 12) - Velocity and Acceleration as Derivatives

    Year: 2019   Question: 8
    References:

  • Q 2 Motion and Rates (Year 12) - Velocity and Acceleration as Derivatives

    Year: 2019   Question: 10
    References:

  • Q 3 Motion and Rates (Year 12) - Velocity and Acceleration as Derivatives

    Year: 2017   Question: 10
    References:

  • Q 4 Motion and Rates (Year 12) - Velocity and Acceleration as Derivatives

    Year: 2018   Question: 12d
    References:
Question 1
HSC 2019 - Question 8 (External Link) Show Question
Answer

\(3\)

Worked Solution

\(a=\dfrac{d v}{d t}\)

at \(t=3 \quad \dfrac{d v}{d t}=0 \quad \therefore\) max or min

at \(t=3-\epsilon \quad \dfrac{d v}{d t}>0\)

at \(t=3+\epsilon \quad \dfrac{d v}{d t}<0\)

\(\therefore \max \quad \therefore C\)

Question 2
HSC 2019 - Question 10 (External Link) Show Question
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Question 3
HSC 2017 - Question 10 (External Link) Show Question
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Question 4
HSC 2018 - Question 12d (External Link) Show Question
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