A body is traveling in a straight line. It moves AB that is 5 m towards the east, BC that is 4 m towards north-east while making 30^o with north and CD that is 7 m in the west direction. Calculate the resultant displacement. [2 MARKS]

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Solution

Diagram: 1 Mark
Answer: 1 Mark

Displacement is the minimum distance between two points.
$A D = 4 c o s 30 = 2 \sqrt{3}$

Resultant displacement is $A D = 2 \sqrt{3} m$ towards north.

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A body is traveling in a straight line. It moves AB that is 5 m towards the east, BC that is 4 m towards north-east while making 30o with north and CD that is 7 m in the west direction. Calculate the resultant displacement. [2 MARKS]

Diagram: 1 Mark Answer: 1 Mark Displacement is the minimum distance between two points. AD=4cos30=2√3 Resultant displacement is AD=2√3 m towards north.

A body is traveling in a straight line. It moves AB that is 5 m towards the east, BC that is 4 m towards north-east while making 30^o with north and CD that is 7 m in the west direction. Calculate the resultant displacement. [2 MARKS]

Diagram: 1 Mark
Answer: 1 Mark

Displacement is the minimum distance between two points.
$A D = 4 c o s 30 = 2 \sqrt{3}$

Resultant displacement is $A D = 2 \sqrt{3} m$ towards north.