Question

A person moves $30\text{m}$ north and then $20\text{m}$ towards east and finally $30\sqrt{2}\text{m}$ in south-west direction. Displacement of the person from the origin will be

• A. $10m$ along north
• B. $10m$ along south
• C. $10m$ along west
• D. Zero

Answer 1

The correct option is C $10m$ along west

Let's draw the person's movement:

The displacement in the horizontal direction will be $30\sqrt{2}\cos 45-20=30-20=10m$

The displacement in the vertical direction will be $30-30\sqrt{2}\sin 45=30-30=0m$

So the displacement of the person from the origin is $10m$ along west.