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  3. 1) aris uses a boat to cross from one side to the

1) Aris uses a boat to cross from one side to the other side of a...

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Basic Math

1) Aris uses a boat to cross from one side to the other side ofa river of width w = 32 m. The river flows at VC = 8 m/min. and hecan row at a speed of VB =30 m/min. in still water. He wants toland at a dock which is L=10 m downstream from a point directlyopposite his starting point. a) In what direction (i.e. anglerelative to the bank), should he aim his boat upstream? b) How longwill it take for him to make this crossing?

2) The speed of an aircraft in still air (air speed) is 600km/h. The wind velocity is 120 km/h blowing from the east. Theaircraft is steered in the direction [E 30° S] that is a bearing of120°. Find the ground velocity vector of the aircraft. (Draw anappropriate vector diagram.)

3) An airplane whose airspeed is 610 km / h is supposed to flyin a straight path 35.0 o North of East. But a steady 85 km / hwind is blowing from the North. In what direction should the planehead?

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