Consider a circular platform of radius R = 2 m. At the time instant t = 0 it is at rest. When it starts moving, it has a constant angular acceleration dω/dt = ω ̇ = 0.2 rad/s2. Evaluate:

(a) The angular velocity after 2 s 

(b) The magnitude of the acceleration experienced by a particle placed at the edge of the platform (at a distance corresponding to R)

If at t = 3 s, the acceleration of the particle is 1.05 m/s2 in a direction that makes an angle of 25◦ to its direction of motion, evaluate:

(c) The speed of the particle at t = 3 s (2.5 points) (d) The speed of the particle at t = 5 s