Calculus in kinematics

Calculus in kinematics Quiz

Spec Q4 · AQA A-Level Maths: Quiz

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5 questions, one answer each

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  1. 1. A particle has r=t3−3tr=t^3-3t metres. Find its velocity when t=2t=2.

    • A. 22 m s⁻¹
    • B. 99 m s⁻¹
    • C. 1212 m s⁻¹
    • D. 66 m s⁻¹

  2. 2. The acceleration is a=6ta=6t m s⁻² and the particle starts from rest. Find vv when t=2t=2.

    • A. 66 m s⁻¹
    • B. 1212 m s⁻¹
    • C. 2424 m s⁻¹
    • D. 1818 m s⁻¹

  3. 3. For v=t2−4tv=t^2-4t, at what time t>0t>0 is the particle at rest?

    • A. t=4t=4
    • B. t=2t=2
    • C. t=0t=0
    • D. t=−4t=-4

  4. 4. For r=t2−6tr=t^2-6t, a particle starts at OO at t=0t=0. Find the distance travelled in the first 44 s.

    • A. 88 m
    • B. 99 m
    • C. 00 m
    • D. 1010 m

  5. 5. Which is true about v=drdtv=\frac{dr}{dt} and a=dvdta=\frac{dv}{dt}?

    • A. a=d2rdt2a=\frac{d^2r}{dt^2}
    • B. a=∫r dta=\int r\,dt
    • C. v=d2rdt2v=\frac{d^2r}{dt^2}
    • D. r=dvdtr=\frac{dv}{dt}

Quiz