College Physics

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An object initially at rest experiences an acceleration of 1.4 m/s^2 for 5.0s and then travels at that constant velocity for another 7.0s. What is the object's average velocity over the 12s interval?

  • College Physics -

    Draw the time-velocity graph.

    Initial velocity, u = 0
    Acceleration, a = 1.4 m/s²
    time, t = 5 seconds
    Distance, S1 = ut+(1/2)at²
    = 0*5 + (1/2)1.4*5²
    = 17.5 m
    Final velocity, v = u+at = 0+1.4*5 = 7 m/s
    Distance, S2 = 7*7 = 49 m

    Average velocity = (S1+S2)/(t1+t2)
    =(17.5+49)/(5+7)
    = 66.5/12
    = 5.54 m/s

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