CALCULUS

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The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 3sin(ðt) + 5cos(ðt), where t is measured in seconds. (Round all answers to the nearest hundredth.)
(a) Find the average velocity during the time period [1, 2].
cm/s

(b) Find the average velocity during the time period [1, 1.1].
cm/s

(c) Find the average velocity during the time period [1, 1.01].
cm/s

(d) Find the average velocity during the time period [1, 1.001].
cm/s

(e) Estimate the instantaneous velocity of the particle when t = 1.
cm/s

  • CALCULUS -

    That should be sin(pi times t) not whatever symbol is up there.. sorry

  • CALCULUS -

    Nevermind I figured it out

  • CALCULUS -

    a) to d) are all done the same way

    I will do b)

    when t=1
    s = 3sin(pi) + 5 cos (pi)
    = -5
    when t=1.1
    s = 3sin(1.1pi) + 5cos(1.1pi)
    = -5.682333

    average velocity = (-5.682333 - (-5))/(1.1-1)
    = -6.8233

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