One of the most astonishing applications of analytical mechanics is the study of fly motion. In this example, we work on a mosquito that crawls in a spherical path on the surface of marble of diameter (D) according to the following equations r = D , theta= (cos phi + 4)k, phi = wt 2 where k is constant. Find the speed of the mosquito at t = 0 second where k = pi and 8 at t = T seconds. Explain with a diagram, how the motion looks like.