A boat weighs 64,000 lb. Its propeller produces a constant thrust of 50,000 lb and the water exerts a resistive force with magnitude proportional to the speed, with k=2000 lb-s/ft. Assuming that the boat starts from rest, find its velocity as a function of time, and find its terminal velocity.
The Attempt at a Solution
The answer in the book is v=25(1-e^(-t)); 25 ft/s. So where did I got wrong? Please correct me.