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PHYSICS, M1 EQ-Bank 18

A helicopter is cruising with an airspeed, , of 220 km/h. The pilot wishes for its flight path to be due south. However, a crosswind, , of 60 km/h is blowing from the west.

Using a vector diagram, in which direction should the pilot steer the helicopter to achieve a due south course?   (3 marks)

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The pilot must steer the helicopter .

PHYSICS, M1 EQ-Bank 7

Below is a description of the motion of a runner. The motion can be divided into three stages.

Stage 1: Runner travels 120 metres south taking 20 seconds.

Stage 2: Runner turns west and travels at 5 ms for half a minute.

Stage 3: Runner travels directly back to their starting position.

  1. Determine the distance that the runner ran during Stage 2 of their journey.   (1 mark)
  2. Find the displacement of the start point from the runner Stage 2 is completed.   (3 marks)

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a.   

b.   

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a.    
   
   

 

b.    Stage 1 and Stage 2 displacement diagram:
 

Using Pythagoras:

 
   
   

 

 
 
   

 

Displacement of the start point from the runner is 192.1 m, N51.3°E.