Problem # 1:- Simple drag force problems a) Find the velocity v(t) and position z(t) of a particle of mass m that is subject to a frictional force (retarding force or drag) proportional to the velocity. Plot velocity v(t) and position r(t) using any plotting tool. b) Find the velocity v(t) and position z(t) of a particle of mass m that is subject to a frictional force (retarding force or drag) proportional to the square of velocity. Plot velocity v(t) and position r(t) using any plotting tool. c) Determine the velocity v(t) and position z(t) of a particle of mass m that is projected vertically upwards with initial velocity o in a uniform gravitational field in a medium with a frictional force proportional to the velocity. Plot velocity v(t) and position z(t) using any plotting tool.

Problem # 1:- Simple drag force problems a) Find the velocity v(t) and position z(t) of a particle of mass m that is subject to a frictional force (retarding force or drag) proportional to the velocity. Plot velocity v(t) and position r(t) using any plotting tool. b) Find the velocity v(t) and position z(t) of a particle of mass m that is subject to a frictional force (retarding force or drag) proportional to the square of velocity. Plot velocity v(t) and position r(t) using any plotting tool. c) Determine the velocity v(t) and position z(t) of a particle of mass m that is projected vertically upwards with initial velocity o in a uniform gravitational field in a medium with a frictional force proportional to the velocity. Plot velocity v(t) and position z(t) using any plotting tool.