A ride in an amusement park consists of a rotating arm AB that has an angular acceleration of α_AB = {1k] rad/s² when ω_AB = {2k] rad/s at the instant shown. Also at this instant the car mounted at the end of the arm has an angular acceleration of α = {-0.6k) rad/s² and angular velocity of ω' = -0.5k) rad/s, measured relative to the arm. Determine the velocity and acceleration of the passenger C at this instant.

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10 ft WAB = 2 rad/s 30⁰ X 60° B @' = 0.5 rad/s 2 ft