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The path Bold r left parenthesis t right parenthesis r (t)equals =left parenthesis 6 Bold cos t right parenthesis Bold i plus left parenthesis 6 Bold...
r
=left parenthesis 6 Bold cos t right parenthesis Bold i plus left parenthesis 6 Bold sin t right parenthesis Bold j
(6 cosisinj
x2+y2=36. Find the particle's velocity and acceleration vectors at t equals StartFraction pi Over 6 EndFraction and StartFraction pi Over 3 EndFraction
t=π6 and π3, and sketch them as vectors on the curve.
v
=left parenthesis nothing right parenthesis
i
+left parenthesis nothing right parenthesis
j