An object of mass is moving horizontally through a CAS
Chapter 7, Problem 7.6.48(choose chapter or problem)
An object of mass is moving horizontally through a CAS medium which resists the motion with a force that is a function of the velocity; that is, where and represent the velocity and position of the object at time , respectively. For example, think of a boat moving through the water. (a) Suppose that the resisting force is proportional to the velocity, that is, , a positive constant. (This model is appropriate for small values of .) Let and be the initial values of and . Determine and at any time . What is the total distance that the object travels from time ? (b) For larger values of a better model is obtained by supposing that the resisting force is proportional to the square of the velocity, that is, , . (This model was first proposed by Newton.) Let and be the initial values of and . Determine and at any time . What is the total distance that the object travels in this case?
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer