Consider the following position function. Find (a) the velocity and the speed of the object and (b) the acceleration of the object. r(t) = (6 cos t,6 sin t) for 0sts2n

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A: Let's find.

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A: Given:- Consider the following position function. r(t) = &lt;9 cos t,9 sin t&gt;for 0≤ t≤2 To Find:-…

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A: a. v(t)=r'(t)=ddtr(t)=ddt2t4,5t5=8t3,25t4 v(t)=8t32+25t42=t364+625t2

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