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physics

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an object travels in a straight line at a constant acceleration for 6 seconds.in the first 2 seconds it travels 18 metres and in entire 6 seconds it covers 102 metres. find the acceleration.

  • physics - ,

    102=vi(6)+1/2 a 36
    18=vi(2)+ 1/2 a 4

    multiply the second equation by 3, then subtract the second equation from the first.

  • physics - ,

    d = Vi t + (1/2) a t^2
    18 = Vi (2) + (1/2) a (4)
    102 = Vi (6) + (1/2) a (36)

    18 = 2 Vi + 2 a
    or
    9 = Vi + a

    102 = 6 Vi + 18 a
    or
    17 = Vi + 3 a

    8 = 2 a
    a = 4 m/s^2

    and
    Vi = 5 m/s

  • physics - ,

    thnx guyz !!!!!!!!

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