A right circular cylinder of radius 10cm spinning at 3 revolutions per minute about the z-axis. At time t=0s, a bug at the point (0,10,0) begins walking straight up the face of the cylinder at the rate of 0.5cm/min.

a) find the cylindrical coordinates of the bug after 2 min.

b) Find the rectangular coordinates of the bug after 2 min.

c) find the spherical coordinates of the bug after 2 min.