## Question

###### Suppose the motion of a particle is given by parametric curve r R2 by r(t) cos? (t)i + Asin" (t)j Find the set A of t values for which has CUSp_ (b) Find the values of r at each of the values in A, There are four distinct values. What is the speed of a parametric curve at cusp? d) Find the turning points in the speed function and decide for each of them whether the speed is at a local maximum Or minimum Your answers to and should be useful.

Suppose the motion of a particle is given by parametric curve r R2 by r(t) cos? (t)i + Asin" (t)j Find the set A of t values for which has CUSp_ (b) Find the values of r at each of the values in A, There are four distinct values. What is the speed of a parametric curve at cusp? d) Find the turning points in the speed function and decide for each of them whether the speed is at a local maximum Or minimum Your answers to and should be useful.

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