Problem 1.1: Newton's second law can be expressed aswhere is the net force acting on...

Problem 1.1: Newton's second law can be expressed as

where is the net force acting on the body, mass of the body, and the acceleration of the body in the direction of the net force. Use Eq. (1) to determine the mathematical model, i.e., governing equation of a free-falling body. Consider only the forces due to gravity and the air resistance. Assume that the air resistance is linearly proportional to the velocity of the falling body.