An ant crawls on the surface of a ball of radius b in such a manner that the ant's motion is given in spherical coordinates by the equations r = b = wt 0 = 0-1 π 1+ cos(4wt) 4 Find the speed of the ant as a function of the time t. What sort of path is represented by the above equations? [10]

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Chapter1: Units, Trigonometry. And Vectors
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An ant crawls on the surface of a ball of radius b in such a manner that the ant's motion is
given in spherical coordinates by the equations
r = b
= wt
0 =
0-1
π
1+ cos(4wt)
4
Find the speed of the ant as a function of the time t. What sort of path is represented by
the above equations?
[10]
Transcribed Image Text:An ant crawls on the surface of a ball of radius b in such a manner that the ant's motion is given in spherical coordinates by the equations r = b = wt 0 = 0-1 π 1+ cos(4wt) 4 Find the speed of the ant as a function of the time t. What sort of path is represented by the above equations? [10]
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