An object moving in a liquid experiences a linear drag force: d= (bv, direction opposite the motion), where b is constant called the drag coefficient. for a sphere of radius r, the drag constant can be computed as b = 6πηr, where η is the viscosity of the liquid. a. use what you've learned in calculus to prove thatb. find an algebraic expression for , the x-component of velocity as a funtion of distance traveled, for a spherical particle of radius r and mass m that is shot horizontally with initial speed through a liquid viscosity η.c. water at 20°c has viscosity . suppose a 1.0-cm-diameter, 1.0 g marble is shot horizontally into a tank of 20°c water at 10 cm/s. how far will it travel before stopping?