Variable acceleration in a straight line

Variable acceleration in a straight line Quiz

Spec 1.1 · Edexcel International A Level Further Maths: Quiz

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  1. 1. A particle has acceleration 6t6t m s−2^{-2} and velocity 22 m s−1^{-1} at t=0t=0. Find its velocity when t=2t=2.

    • A. 1212 m s−1^{-1}
    • B. 1414 m s−1^{-1}
    • C. 2626 m s−1^{-1}
    • D. 88 m s−1^{-1}

  2. 2. A particle has acceleration 2x2x m s−2^{-2} at displacement xx m, and is instantaneously at rest at x=1x=1. Find its speed at x=3x=3.

    • A. 22 m s−1^{-1}
    • B. 88 m s−1^{-1}
    • C. 44 m s−1^{-1}
    • D. 1616 m s−1^{-1}

  3. 3. Which expression gives the acceleration in terms of vv and xx?

    • A. dvdx\frac{dv}{dx}
    • B. vdxdvv\frac{dx}{dv}
    • C. dxdt\frac{dx}{dt}
    • D. vdvdxv\frac{dv}{dx}

  4. 4. A particle has velocity dxdt=2t+1\frac{dx}{dt}=2t+1 m s−1^{-1} and x=0x=0 when t=0t=0. Find xx when t=3t=3.

    • A. 1212 m
    • B. 77 m
    • C. 66 m
    • D. 1010 m

  5. 5. A particle has dxdt=x\frac{dx}{dt}=x with x=1x=1 at t=0t=0. Find xx when t=2t=2.

    • A. 2e2e
    • B. e2e^2
    • C. 33
    • D. 2e22e^2

Quiz