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14 October, 15:26

Find the velocity, acceleration, and speed of a particle with the given position function. r (t = t2i 6tj 4 ln t k

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  1. 14 October, 15:47
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    1st derivative gives velocity;

    d r (t) / dt = 2t i + 6 j + 4/t k

    2nd derivative gives acceleration;

    d^2 r (t) / dt^2 = 2 i - 4 / t^2

    Speed;

    Square root of (4 t^2 + 36 + 16 / t^2)

    For a given time, like 2 seconds, t will be 2. And answer of speed will be scalar.
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