Question

a cyclist travels a distance of 1200 m due north before going 2000 m due east followed by 500 m south-west. draw a scale diagram to calculate the.com cyclist's final displacement from her initial position

Answer 1

 d1 = 1200m   North

 d2 = 2000 m  East

 d3 =  500  m  south-west

  Draw a scale diagram to calculate the.com cyclist's final displacement from her initial position=?

 Solution :

   summation of forces on the x-axis :

 drx = d2 - d3x

 drx = 2000m - 500m *cos 45º

 drx = 1646.446 m

 summation of forces n the y- axis:

 dry = d1 - d3*sen 45º

  dry = 1200 m - 500 m *sen45º

 dry = 846.446 m .

  dr = 1646.446 i + 846.446 j  m

  dr = √( 1646.446 m)² + ( 846.446 m)²

  dr = 1851.28 m        module

  tangα = dry/drx = 846.446 / 1646.446

  α= 27.20º    direction