A flat disk with a radius of 60.0 cm spins at a constant speed of 48.0 rad/s for two seconds. You then apply brakes to the disk, stopping it at a constant rate in an additional five seconds.

a) Find the disk's angular displacement during these seven seconds.
b) You notice a tiny piece of paper stuck to the edge of the disk. Find the paper's linear velocity three seconds after you apply the brakes.