A body undergoes 3 displacements, AB that is 5 m in the direction east, BC that is 4 m in a direction 30^o east of north and CD that is 7 m in the west direction. Calculate the resultant displacement.

2 \sqrt{3}

m in north direction

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3m south

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12m south-east

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5m south-west

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Solution

The correct option is A

$2 \sqrt{3}$ m in north direction

$A D = 4 c o s 30 = 2 \sqrt{3}$

Resultant displacement is $A D = 2 \sqrt{3} m$ in the direction north

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A body undergoes 3 displacements, AB that is 5 m in the direction east, BC that is 4 m in a direction 30o east of north and CD that is 7 m in the west direction. Calculate the resultant displacement.

The correct option is A 2√3m in north direction ​​ AD=4cos30=2√3 Resultant displacement is AD=2√3m in the direction north

A body undergoes 3 displacements, AB that is 5 m in the direction east, BC that is 4 m in a direction 30^o east of north and CD that is 7 m in the west direction. Calculate the resultant displacement.

The correct option is A

$2 \sqrt{3}$ m in north direction

$A D = 4 c o s 30 = 2 \sqrt{3}$

Resultant displacement is $A D = 2 \sqrt{3} m$ in the direction north