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

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

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 31: vectors at t= ?, and sketch them as vectors on the curve. E) The velocity vector at t= 3%: is v [g] = (D) i + (D) j. (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) The acceleration vector at t= 321: is a [3211:] = (ED i + (D) j. (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) 31: Choose the correct sketch for the particle's velocity and acceleration at t = 7

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