1. In general, dense fluids (such as water) produce a drag force that is directly proportional to the speed of an object moving through them. Suppose a boat is moving through the water and experiencing a fluid drag force of F=-8 v. Suppose the boat has a motor which can output up to 450 Newtons of force. What is the maximum speed of the boat? If the boat starts from rest at t=0, find the speed of the boat as a function of time. 2. To get started I am inclined to find velocity, however, I am not aware of any way in which I can find velocity from force (the 450 Newtons of force output by the motor). 3. My initial attempt would be to enlist Newton's 3rd law and set up the equation 450 N = 8v (negative sign removed since the velocity will be measured in the positive direction. From there I could find v as follows; (450 N/8) = v which would further suggest that v = 56.25 N. This would create a drag force equal to the force propelling the boat through the water. From here I'm thinking that I should put my findings into a kinematics equation but there appears to not be enough information to do so. Am I missing something crucial?