An equation of motion is given by x=at^2+bt+c where a,b,c are unknown variables. If x=position and t= time, what are dimensions of a,b,c? ?

3 Answers

  • NCS
    Lv 7
    3 weeks ago
    Favorite Answer

    a has units of acceleration, m/s²

    b has units of velocity, m/s

    c has units of position, m

    m = meters

    s = seconds

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  • Vaman
    Lv 7
    3 weeks ago

    x is length. All terms should have the dimension of length l. at^2=l, a=l/t^2,  bt=l,  b=l/t c will have length l.

  • oubaas
    Lv 7
    3 weeks ago

    c = initial position in meters

    b = velocity in meters/sec 

    a = acceleration in meters/sec^2

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