a) A dense ball of mass m is falling under gravity g in a fluid with density rho, assuming that the initial velocity of the ball is zero. The viscosity of the fluid is C and the magnitude of the viscous force on the ball is equal to kC s where s is the speed of the ball and k is a const. depending on the exact shape of the ball. Sketch the speed, the kinetic energy of the ball vs time (without doing any calculation), and the buoyant force on the ball. Is there a limit to the speed at which the ball will move? If yes, find the final speed of the ball