A boat is towed at the rate of 12mi/hr. At t = 0, the towing line is cast off and a man in the boat begins to row in the direction of motion exerting force of 20 lb. The combined weight of the man and the boat is 480lb. The water resists the motion with a force equal to 1.7v lb, where v is the velocity of the boat in feet per second. Derive a DE leading the velocity of the boat.
A boat is towed at the rate of 12mi/hr. At t = 0, the towing line is cast off and a man in the boat begins to row in the direction of motion exerting force of 20 lb. The combined weight of the man and the boat is 480lb. The water resists the motion with a force equal to 1.7v lb, where v is the velocity of the boat in feet per second. Derive a DE leading the velocity of the boat.
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Subject: Differential Equation
Transcribed Image Text:Problem 7-10: Formulate DE for problems involving Newton's Secondo Law of Motion.
7. A boat is towed at the rate of 12mi/hr. At t = 0, the towing line is cast off and a man in the boat begins to row
in the direction of motion exerting force of 20 lb. The combined weight of the man and the boat is 480lb. The
water resists the motion with a force equal to 1.7v lb, where v is the velocity of the boat in feet per second.
Derive a DE leading the velocity of the boat.
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