(10 marks) Question 2 A block slides on a horizontal surface, which has been lubricated with heavy oil such that the block suffers a viscous resistance that varies with speed v according to the equation F(v) = -CV" If the initial speed of the block is v, at time1=0. a. Write the differential equation of motion. b. Find the velocity V of the particle and the displacement xas a function of the time 1. c. Find vas a function of x. In particular, show that forn=1/2, the block will not travel further than 3c 2mv,