In: Math
1) Aris uses a boat to cross from one side to the other side of a river of width w = 32 m. The river flows at VC = 8 m/min. and he can row at a speed of VB =30 m/min. in still water. He wants to land at a dock which is L=10 m downstream from a point directly opposite his starting point. a) In what direction (i.e. angle relative to the bank), should he aim his boat upstream? b) How long will it take for him to make this crossing?
2) The speed of an aircraft in still air (air speed) is 600 km/h. The wind velocity is 120 km/h blowing from the east. The aircraft is steered in the direction [E 30° S] that is a bearing of 120°. Find the ground velocity vector of the aircraft. (Draw an appropriate vector diagram.)
3) An airplane whose airspeed is 610 km / h is supposed to fly in a straight path 35.0 o North of East. But a steady 85 km / h wind is blowing from the North. In what direction should the plane head?