Variable acceleration in one dimension

Variable acceleration in one dimension Quiz

Spec 5.1 · Edexcel A-Level Further Maths: Quiz

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  1. 1. A particle has acceleration 4t4t m s⁻² and an initial velocity of 2 m s⁻¹. What is its velocity when t=3t=3?

    • A. 18 m s⁻¹
    • B. 12 m s⁻¹
    • C. 20 m s⁻¹
    • D. 38 m s⁻¹

  2. 2. A particle has dxdt=3t2−2\frac{dx}{dt}=3t^2-2 and x=1x=1 when t=0t=0. What is xx when t=2t=2?

    • A. 5 m
    • B. 8 m
    • C. 10 m
    • D. 4 m

  3. 3. A particle has dvdt=−2v\frac{dv}{dt}=-2v and v=6v=6 when t=0t=0. Which is its velocity?

    • A. v=6−2tv=6-2t
    • B. v=6e2tv=6e^{2t}
    • C. v=−12tv=-12t
    • D. v=6e−2tv=6e^{-2t}

  4. 4. A particle has velocity v=t2−6t+5v=t^2-6t+5. At which times is it instantaneously at rest?

    • A. t=2t=2 and t=3t=3
    • B. t=1t=1 and t=5t=5
    • C. t=−1t=-1 and t=−5t=-5
    • D. t=0t=0 only

  5. 5. Which method solves dvdt=0.5(20−v)\frac{dv}{dt}=0.5(20-v)?

    • A. Differentiate vv again
    • B. Use v=u+atv=u+at
    • C. Separate variables: ∫dv20−v=∫0.5 dt\int\frac{dv}{20-v}=\int0.5\,dt
    • D. Integrate vv with respect to tt directly

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