Question

A person moves $30m$ north and then $20m$ towards east and finally $30\sqrt{2}m$ in south west direction. Find displacement of the person from the origin.

Answer 1

Given that,

Person goes in north direction $=30m$

Person goes in east direction $=20m$

Person goes in south –west direction $=30\sqrt{2}m$

So, the displacement is

Displacement = final position –initial position

$D=30\sqrt{2}-\sqrt{{\left(30\right)}^2+{\left(20\right)}^2}$

$D=30\sqrt{2}-10\sqrt{13}$

$D=6.38m$

Hence, the displacement is 6.38 m