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urgent calculus

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The position of a particle moving in a straight line is given by s(t) = 2sint - cost , from 0 to 2 pi
where s is the displacement in metres and t is the time in seconds. Find the absolute max and absolute min displacements.

  • urgent calculus -

    s'(t) = 2cost + sint
    = 0 for a max/min
    sint = -2cost
    sint/cost = -2
    tant = -2
    t = π - 1.107 = 2.0344 or
    t = 2π - 1.107 = 5.176

    s(2.0344) = 2.236
    s(5.176) = -2.236

    so the max is ...
    and the min is ....

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