2. A boat is launched with initial velocity v = vo on a river of width...

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2. A boat is launched with initial velocity v = vo on a river of width w. The boat experiences a linear resistance force F, = -mk (v - vw)due to the water, where v is the velocity of the boat and vw vw is the velocity of the water in the river. Vw = a) Solve for the equation y(t) for the boat. b) Solve for the equation x(t) for the boat. c) Vo,min Find the minimum initial speed Vo, min needed for the boat to reach the other side of the river. d) If vo=2vo,min, how long does it take for the boat to cross? e) If vo = 2vo,min, how far down river is the boat when it makes it across the river? y 40 start River W 2. A boat is launched with initial velocity v = vo on a river of width w. The boat experiences a linear resistance force F, = -mk (v - vw)due to the water, where v is the velocity of the boat and vw vw is the velocity of the water in the river. Vw = a) Solve for the equation y(t) for the boat. b) Solve for the equation x(t) for the boat. c) Vo,min Find the minimum initial speed Vo, min needed for the boat to reach the other side of the river. d) If vo=2vo,min, how long does it take for the boat to cross? e) If vo = 2vo,min, how far down river is the boat when it makes it across the river? y 40 start River W