Grade 11Mechanics
a person move 30 m north then 20 east then 30root2 m south-west his displscement from the origin position is
a person move 30 m north then 20 east then 30root2 m south-west his displscement from the origin position is
1 Answer
Rituraj Tiwari
Given that,
A person moves 30 m North then 20 m east than 30 root 2 meter southwest.
The movement along north direction, Vector OY =
The movement along east direction, Vector YX=
Movement along south west direction, XZ
Vector XZ==30i + 30j
Using triangle vector law,
OX = 20i + 30j
XZ = 30i + 30j
In triangle XZO, OZ is resultant from origin.
OZ = OX-XZ
OZ = 20i + 30j - 30i - 30j
OZ = -10i
Hence, The position of person from origin is 10 m West.
A person moves 30 m North then 20 m east than 30 root 2 meter southwest.
The movement along north direction, Vector OY =
The movement along east direction, Vector YX=
Movement along south west direction, XZ
Vector XZ==30i + 30j
Using triangle vector law,
OX = 20i + 30j
XZ = 30i + 30j
In triangle XZO, OZ is resultant from origin.
OZ = OX-XZ
OZ = 20i + 30j - 30i - 30j
OZ = -10i
Hence, The position of person from origin is 10 m West.
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