math(mechanics)

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a particle moves along a straight line such that its position is defined by s=(t^2-3t^2=2)m.determine the average velocity, the average speed, and the acceleration of the particle when t=4s.

  • math(mechanics) -

    Unusual wording of this question

    When they ask for "average" velocity and acceleration, usually there is a time interval involved.
    In your case , we are given t = 4, a specific time.
    I would expect to be asked for the "instantaneous" velocity and acceleration

    method:
    if s = t^2 - 3t^2 + 2 (I assume a typo, since the = and + on on the same key , also is one of those a cubic? )

    v= derivative of s
    a = derivatiave of v
    sub in t = 4

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