An elastic band is hung on a hook and a mass is hung on the lower end of the band. When the mass is pulled downward and then released, it vi

Question

An elastic band is hung on a hook and a mass is hung on the lower end of the band. When the mass is pulled downward and then released, it vibrates vertically. The equation of motion is s = 9 cos(t) + 9 sin(t), t ≥ 0, where s is measured in centimeters and t in seconds. (Take the positive direction to be downward.) (a) Find the velocity and acceleration at time t.

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Acacia 3 years 2021-08-14T19:28:21+00:00 1 Answers 24 views 0

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    2021-08-14T19:29:31+00:00

    Answer:

    v(t) = s′(t) = −9sin(t)+9cos(t)

    a(t) = v′(t) = −9cos(t) −9sin(t)

    Explanation:

    Given that

    s = 9 cos(t) + 9 sin(t), t ≥ 0

    Then acceleration and velocity is

    v(t) = s′(t) = −9sin(t)+9cos(t)

    a(t) = v′(t) = −9cos(t) −9sin(t)

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