# A body travels a distance of 3 km towards East, then 4 km towards North and finally 9 km towards east.(i) What is the total distance travelled?(ii) What is the resultant displacement?

1) Total distance =3+ 4 + 9 = 16 Km

2) Total displacement = 12.6 km

The net displacement in east direction is 3+9=12 km

The net displacement in north direction is 4 km

The net displacement in south and west direction is zero

Using, pythagorean theorem

displacement(d)=√(122+ 42)=√(144+16)=√(160)=12.6 km

Hence, The displacement of body is 12.6 km in north-east direction

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