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1:  A particle's position in the plane  seconds after it starts moving is:

x=6cos(kt) , y=6sin(kt)

for some constant k . If the particle moves a distance of 120π every second, then what is k ?

 Oct 27, 2023
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The distance the particle moves is the circumference of a circle with radius 6. The circumference of a circle is 2πr, so we can set 6⋅2π=120π to get k=6.

 Oct 28, 2023

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