Kinematics using calculus

Kinematics using calculus Quiz

Spec 1.3–4 · Edexcel International A Level Further Maths: Quiz

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5 questions, one answer each

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  1. 1. A particle has displacement x=t2−4tx=t^2-4t metres. What is its velocity when t=3t=3?

    • A. −2 m s−1-2\text{ m s}^{-1}
    • B. 0 m s−10\text{ m s}^{-1}
    • C. 2 m s−12\text{ m s}^{-1}
    • D. 6 m s−16\text{ m s}^{-1}

  2. 2. A particle has velocity v=6t2v=6t^2 and is at OO when t=0t=0. Find its displacement at t=2t=2.

    • A. 1616 m
    • B. 1212 m
    • C. 2424 m
    • D. 88 m

  3. 3. A particle has displacement x=t3−3tx=t^3-3t. What is its acceleration at t=2t=2?

    • A. 3 m s−23\text{ m s}^{-2}
    • B. 6 m s−26\text{ m s}^{-2}
    • C. 9 m s−29\text{ m s}^{-2}
    • D. 12 m s−212\text{ m s}^{-2}

  4. 4. r=t3i+2t2j\mathbf{r}=t^3\mathbf{i}+2t^2\mathbf{j}. What is the velocity when t=2t=2?

    • A. (8i+8j) m s−1(8\mathbf{i}+8\mathbf{j})\text{ m s}^{-1}
    • B. (12i+8j) m s−1(12\mathbf{i}+8\mathbf{j})\text{ m s}^{-1}
    • C. (12i+4j) m s−1(12\mathbf{i}+4\mathbf{j})\text{ m s}^{-1}
    • D. (6i+8j) m s−1(6\mathbf{i}+8\mathbf{j})\text{ m s}^{-1}

  5. 5. A particle moves with v=t−2v=t-2 for 0≤t≤40\leq t\leq4. What is the total distance travelled?

    • A. 00 m
    • B. 22 m
    • C. 44 m
    • D. 88 m

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