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
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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
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