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The path r(t) = (t- sin t) i + (1 cos t)j describes motion on the cycloid x =t- sin t, y = 1 cos

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The path r(t) = (t- sin t) i + (1 cos t)j describes motion on the cycloid x =t- sin t, y = 1 cos t. Find the particle's velocity and acceleration 311 vectors at t= ?, and sketch them as vectors on the curve. The velocity vector att= 3%: is v [33] = (ED i+ (ED j. (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) The acceleration vector at t= % is a [3211] = (ED i + (CD j. (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) 3:: Choose the correct sketch for the particle's velocity and acceleration at t = ?. {:3 A. {:3 B. cf} 6. .:;":- D. y Q y Q y Q y Q Q \\3 Q Q Q x a l> l>

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