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A cyclist travels a distance of 1200 m due north before going 2000 m due east followed by 500 m south - west?

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.

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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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