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Tom asked in Science & MathematicsPhysics · 1 decade ago

An object initially at rest experiences an acceleration of 1.7m/s^2 for 6.0s?

and then travels at that constant velocity for another 9.0s

What is the object’s average velocity over the 15s interval? in m/s

Full answer and explanation please

1 Answer

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    Lv 7
    1 decade ago
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    p(t) = position function w.r.t. time

    v(t) = velocity function w.r.t. time

    a(t) = acceleration function w.r.t. time

    a(t) = 1.7 m/s^2 t, for 0 < t < 6

    For the first 6 seconds, v(t) = Integral of a(t) = 0.85 t (from 0 to 6). At t = 6, v(6) = 5.1 m/s

    So, v(t) for 6 seconds = 0.85 m/s on average

    v(t) for t = 6 < t < 15 = 5.1 m/s constantly (I'm assuming no friction or other forces to slow down)

    average velocity = (6(0.85) + 9(5.1)) / 15

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