Spiraling Up. It is common to see birds of prey rising upward on thermals. The paths they take may be spiral-like. You can model the spiral motion as uniform circular motion combined with a constant upward velocity. Assume a bird completes a circle of radius 6.00 m every 5.00 s and rises vertically at a constant rate of 3.00 m/s. Determine:

(a) The speed of the bird relative to the ground;

(b) The bird’s acceleration (magnitude and direction); and

(c) The angle between the bird’s velocity vector and the horizontal.