Vectors in circular motion

Vectors in circular motion Quiz

Spec MD4 · AQA A-Level Further Maths: Quiz

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5 questions, one answer each

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  1. 1. A particle has r=3cos⁡2t i+3sin⁡2t j\mathbf{r}=3\cos2t\,\mathbf{i}+3\sin2t\,\mathbf{j}. What is its speed?

    • A. 33 m s⁻¹
    • B. 66 m s⁻¹
    • C. 1212 m s⁻¹
    • D. 1818 m s⁻¹

  2. 2. For the same particle, what is the magnitude of its acceleration?

    • A. 66 m s⁻²
    • B. 1818 m s⁻²
    • C. 1212 m s⁻²
    • D. 3636 m s⁻²

  3. 3. In which direction does the acceleration act in uniform circular motion?

    • A. Along the tangent, in the direction of motion
    • B. Away from the centre
    • C. Along the tangent, against the motion
    • D. Towards the centre

  4. 4. A particle has r=2cos⁡5t i+2sin⁡5t j\mathbf{r}=2\cos5t\,\mathbf{i}+2\sin5t\,\mathbf{j}. Find a\mathbf{a} when t=0t=0.

    • A. −50i-50\mathbf{i}
    • B. −10i-10\mathbf{i}
    • C. 50i50\mathbf{i}
    • D. −50j-50\mathbf{j}

  5. 5. A particle moves anticlockwise on a circle of radius 44 m with ω=2\omega=2 rad s⁻¹. Find its velocity at (0,4)(0,4).

    • A. 8i8\mathbf{i}
    • B. −8i-8\mathbf{i}
    • C. 8j8\mathbf{j}
    • D. −4i-4\mathbf{i}

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