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

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 vectors at t = x, and sketch them as vectors on the curve. . . . . . The velocity vector at t = n is v() = (i+(Di (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) The acceleration vector at t = n is a(it) = (i+(Di. (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) Choose the correct sketch for the particle's velocity and acceleration at t = It. O A. O B. O c. O D. Ay X X X X

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