Posted by **Jess** on Wednesday, February 20, 2013 at 3:42pm.

1) Suppose that an insect crawls in a plane in a path given in polar coordinates by r = be^kt; theta = kt;

where b; k are positive constants and t is time.Find the velocity and acceleration vectors of the insect. Show that the angle between the velocity and acceleration vectors is equal to

pi/4 for all times t.