The path Bold r left parenthesis t right parenthesisr ( t ) equals = left parenthesis t minus Bold sin t right parenthesis Bold i
The path Bold r left parenthesis t right parenthesisrtequalsleft parenthesis t minus Bold sin t right parenthesis Bold i plus left parenthesis minus Bold cos t right parenthesis Bold jtsinticostj describes motion on the cycloid xequalst minus Bold sin ttsint yequals minus Bold cos tcost Find the particle's velocity and acceleration vectors at t equals StartFraction pi Over EndFractiont and sketch them as vectors on the curve.
