PHYS121 - Learning Assignment: Boat in Water 1. A boat is traveling up a river. The river is flowing in a straight line due West at a speed of 2m/s. The boat has its outboard motor directed to push it aimed at an angle 30 degrees North of East at a speed of 5m/s. The river is 20 meters wide and the boat is initially in the center of the river. a) Draw a picture of this situation T . North 20 ml = 2 river X, East b) How long until the boat reaches the North shore of the river? Sin 30" = Vy Vy = 5-Sin30 = 2.5 m/s Nx V's = 5COS 30#- 2.5 M/S yp =yr+ byt - 10= 25it E = 4.0 sec c) How far has the boat traveled up river by the time it reaches the shore? XF = Xit Vat d) What is the boats actual net velocity in component form and in magnitude+direction form?2. A duck is attempting to flying directly South for the winter. It flies at a speed of 4 m/s. There is a wind blowing due East at 3 m/s while the duck is flying. a) Draw a picture of this situation b) What direction should the duck fly in order that its actual net velocity in air is pointed directly Southward? hint: think of how it can direct itself so that a portion of its velocity counteracts the wind's velocity c) Write the duck's own flying velocity in both component form and magnitude+direction form hint: use the information you determined for question b) above to write out the duck's own velocity vector in both forms d) Write the duck's net velocity in air in both component form and magnitude+direction form hint: add the duck's flying velocity to the wind's velocity to determine the duck's actual net velocity in air... you may find it helpful to first put the wind's velocity in component form to make it easier to add to the duck's flying velocity. e) What is the duck's net flight speed? hint: the duck's net speed is the magnitude of its net velocity in air