### Motion of a shadow: period, amplitude, maximum speed, maximum magnitude of the acceleration.

A peg on a turntable moves with a constant linear speed of 0.67 m/s in a circle of radius 0.45 m. The peg casts a shadow on a wall. Find the following quantities related to the motion of the shadow: (a) the period, (b) the amplitude, (c) the maximum speed, and (d) the maximum magnitude of the acceleration.