physics/maths help damon or steve or scott

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A body moves in a straight line,with initial
velocity and uniform acceleration.find how
far it travels in 12sec.,given that it travels
246m in the first 6 sec.,and 69m in the last
3sec.find the initial velocity.

Please show step

  • physics/maths help damon or steve or scott -

    s(t) = s0 + v0t + a/2 t^2

    so,

    s0 + 6v0 + 18a = 246
    s0 + 9v0 + 81/2 a = 246+69

    Solve for v0

  • physics/maths help damon or steve or scott -

    6 V0 + 18 a = 246

    V0 + 9 a = V1

    3 V1 + 4.5 a = 69


    subs ... 3 V0 + 27 a + 4.5 a = 69
    ... times 2 ... 6 V0 + 63 a = 138

    subtract to eliminate V0
    ... 45 a = -108
    ... a = -2.4

    substitute back to find V0

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