1. Math
  2. Prealgebra
  3. the path bold r left parenthesis t right parenthesisrtequalsleft parenthesis...

Question: the path bold r left parenthesis t right parenthesisrtequalsleft parenthesis...

Question details

The path

Bold r left parenthesis t right parenthesisr(t)equals=left parenthesis 4 Bold sin t right parenthesis Bold i plus left parenthesis 4 Bold cos t right parenthesis Bold j(4 sin t) i+(4 cos t) j

describes motion on the circle

x squared plus y squared equals x2+y2=16.

Find the​ particle's velocity and acceleration vectors at

t equals StartFraction pi Over 2 EndFraction and StartFraction pi Over 3 EndFractiont=π2 and π3​,

and sketch them as vectors on the curve.

The velocity vector at

t equals StartFraction pi Over 2 EndFractiont=π2

is

Bold v left parenthesis StartFraction pi Over 2 EndFraction right parenthesisvπ2equals=left parenthesis nothing right parenthesis

iplus+left parenthesis nothing right parenthesis

j.

​( using radicals as​ needed.)

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