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If the hula hoop is positioned vertically on the floor so that the black band is...

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Advance Math

If the hula hoop is positioned vertically on the floor so thatthe black band is touching the floor, when the hula hoop is given apush, it begins to travel upright along the floor. The path tracedout by the black band is given by the position vector r= (t – sint) i + (1 – cos t) j.

c) Find the maximum and minimum values of the velocity vectoranalytically.

d) Find the maximum and minimum values of the accelerationvector analytically.

e) Provide a graphical representation of the velocity andacceleration vectors. Do they confirm your answers to c and d?

Answer & Explanation Solved by verified expert
4.0 Ratings (731 Votes)
dFor finding the maxima and minima we can take themodulusThe derivative will be given by the formulaHence the maxima will occur when sint 0 whichimplies    See Answer
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