Just as every linear motion equation has an equivalent rotational motion equation, every linear motion Kinematics problem has an equivalent rotational motion Kinematics problem too. If the linear motion problem is: "An object is thrown upwards from the top of a 100 m height building with an initial velocity of 30 m/s. How long does it take the ball to reach the ground?" then

(a) write the equivalent rotational motion problem. (b) Draw the detailed sketch of the rotational motion problem. (c) Write the rotational motion Kinematics equations with the correct numbers placed in the equation. (d) Solve for the time of the rotational motion problem.