If a single constant force acts on an object that moves on a straight line, the object's velocity is a linear function of time. The equation gives its velocity as a function of time, where is its constant acceleration. What if velocity is instead a linear function of position? Assume that as a particular object moves through a resistive medium, its speed decreases as described by the equation , where k is a constant coefficient and x is the position of the object. Find the law describing the total force acting on this object.Ā
