3. An object with mass m is dropped from rest and we assume that the air resistance is proportional to the speed of the object. The speed is n(t) at t seconds after the object is dropped, and the acceleration is a : e'(t). If g is the acceleration due to gravity, then the downward force on the object is my 7 on, where e is a positive constant, and Newton's Second Law gives (a) Solve this as a linear equation1 to show that 'U = U- _ eet/m) C Hint: when interpreting something with a lot of constants, start by identifying what is a constant and what is the dependent and independent variable. (b) Suppose this object drops forever, what is the velocity getting close to? (c) It is said that Galileo dropped two objects of unequal mass from the Leaning Tower of Pisa, but the two objects hit the ground at the same time. i. Suppose the weights of the two objects are 1kg and 10kg. Explain why the 10kg object should fall faster than the 1kg object using previous parts. ii. Galileo's experiment did not reect this phenomenon. What do you think might be the reason? (This part will be graded on completion only.)