Meriam, Kraige & Bolton — Plane Kinematics of Rigid Bodies: Problem 5_137

5/137 Under the action of its stern and starboard bow thrusters, the cruise ship has the velocity \( v_B = 1 \text{ m/s} \) of its mass center \( B \) and angular velocity \( \omega = 1 \text{ deg/s} \) about a vertical axis. The velocity of \( B \) is constant, but the angular rate \( \omega \) is decreasing at \( 0.5 \text{ deg/s}^2 \). Person \( A \) is stationary on the dock. What velocity and acceleration of \( A \) are observed by a passenger fixed to and rotating with the ship? Treat the problem as two-dimensional.