Motion in two dimensions with vectors

Motion in two dimensions with vectors Quiz

Spec Q3–Q4 · AQA A-Level Maths: Quiz

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5 questions, one answer each

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  1. 1. u=2i−j\mathbf u=2\mathbf i-\mathbf j, a=i+2j\mathbf a=\mathbf i+2\mathbf j. Find v\mathbf v when t=4t=4.

    • A. 6i+7j6\mathbf i+7\mathbf j
    • B. 4i+4j4\mathbf i+4\mathbf j
    • C. 6i−7j6\mathbf i-7\mathbf j
    • D. 3i+j3\mathbf i+\mathbf j

  2. 2. r=(2t2+1)i+(t3−t)j\mathbf r=(2t^2+1)\mathbf i+(t^3-t)\mathbf j. Find v\mathbf v.

    • A. (4t+1)i+(3t2)j(4t+1)\mathbf i+(3t^2)\mathbf j
    • B. (4t)i+(3t2−1)j(4t)\mathbf i+(3t^2-1)\mathbf j
    • C. (2t)i+(3t2−1)j(2t)\mathbf i+(3t^2-1)\mathbf j
    • D. (4t)i+(t2−1)j(4t)\mathbf i+(t^2-1)\mathbf j

  3. 3. v=3t2i+2j\mathbf v=3t^2\mathbf i+2\mathbf j with r=0\mathbf r=\mathbf 0 at t=0t=0. Find r\mathbf r.

    • A. 6t i6t\,\mathbf i
    • B. 3t3i+2tj3t^3\mathbf i+2t\mathbf j
    • C. t3i+2tjt^3\mathbf i+2t\mathbf j
    • D. t3i+2jt^3\mathbf i+2\mathbf j

  4. 4. The velocity of a particle is (t−2)i+(2t−4)j(t-2)\mathbf i+(2t-4)\mathbf j. When is it at rest?

    • A. Never
    • B. t=0t=0
    • C. t=1t=1
    • D. t=2t=2

  5. 5. v=3i−4j\mathbf v=3\mathbf i-4\mathbf j m s−1^{-1}. Find the speed.

    • A. 77 m s−1^{-1}
    • B. 55 m s−1^{-1}
    • C. 11 m s−1^{-1}
    • D. 2525 m s−1^{-1}

Quiz