Answer:
Step-by-step explanation:
We shall represent all displacements in vector form , in terms of i and j . I represents unit displacement towards east and j represents unit displacement in north direction .
First displacement D₁ = 20 j
second displacement D₂ = -15 j
Third displacement D₃ = 10 i
Fourth displacement D₄ = 12 cos30 i + 12 sin30 j [ 12 cos 30 is displacement towards east and 12 sin30 is displacement towards north ]
Total displacement = 20 j - 15 j + 10 i + 12 cos30 i + 12 sin30 j
= 5 j + 10 i + 10.4 i + 6 j
= 20.4 i + 11 j
Magnitude of displacement = √ ( 20.4² + 11² )
= √ ( 416.16 + 121)
= √ 537.16
= 23.17 m