Kinematics with vectors in two dimensions

Kinematics with vectors in two dimensions Quiz

Spec 7.3–4 · Edexcel A-Level Maths: Quiz

Studying this course? Keep your progress in one place.

Pick an answer for each. Quizzes never use energy.

5 questions, one answer each

Each answer is checked as you go, with why.

See all 5 questions

  1. 1. r=(2t2)i+(t3)j\mathbf{r}=(2t^2)\mathbf{i}+(t^3)\mathbf{j}. Find the velocity when t=2t=2.

    • A. 8i+8j8\mathbf{i}+8\mathbf{j}
    • B. 8i+12j8\mathbf{i}+12\mathbf{j}
    • C. 4i+12j4\mathbf{i}+12\mathbf{j}
    • D. 4i+8j4\mathbf{i}+8\mathbf{j}

  2. 2. A particle starts from rest with acceleration (2i−j)(2\mathbf{i}-\mathbf{j}) m s−2^{-2}. Find its speed after 3 s.

    • A. 353\sqrt5 m s−1^{-1}
    • B. 5\sqrt5 m s−1^{-1}
    • C. 99 m s−1^{-1}
    • D. 1515 m s−1^{-1}

  3. 3. v=(3t−6)i+(t2−4)j\mathbf{v}=(3t-6)\mathbf{i}+(t^2-4)\mathbf{j}. At what time is the particle instantaneously at rest?

    • A. t=1t=1
    • B. t=3t=3
    • C. t=2t=2
    • D. It is never at rest

  4. 4. a=6t i\mathbf{a}=6t\,\mathbf{i} and v=0\mathbf{v}=\mathbf{0} when t=0t=0. Find v\mathbf{v}.

    • A. 6i6\mathbf{i}
    • B. 3ti3t\mathbf{i}
    • C. 6t2i6t^2\mathbf{i}
    • D. 3t2i3t^2\mathbf{i}

  5. 5. Which formula is only valid when acceleration is constant?

    • A. a=dvdt\mathbf{a}=\frac{d\mathbf{v}}{dt}
    • B. s=ut+12at2\mathbf{s}=\mathbf{u}t+\frac12\mathbf{a}t^2
    • C. v=drdt\mathbf{v}=\frac{d\mathbf{r}}{dt}
    • D. ∣v∣=vx2+vy2|\mathbf{v}|=\sqrt{v_x^2+v_y^2}

Quiz