申論題

3. When an object of mass m moves through a viscous medium, it is acted on by a frictional force that acts in the direction opposite to its motion. This frictional force depends on the velocity of the object and is given by F(ν) = -αν-βν², where α and β are positive constants.

(a) From the Newton's second law, F=ma, solve the differential equation to find v = v(t). (10%)