Question

1. A particle has a displacement of 2 units along the x-axis, 1 unit along the
y- axis and 2 units along the z - axis. Then the resultant displacement of
the particle is

Answer 1

Answer:

3 unit ,4 unit,5 unit ,1 unit

Answer 2

Given:

A particle has a displacement of 2 units along the x-axis, 1 unit along the y- axis and 2 units along the z - axis.

To find:

Resultant displacement ?

Calculation:

• All the individual displacements are along the perpendicular axes, so we can say:

The net displacement will be :

$d_{net} = \sqrt{ {(d_{x})}^{2} + {(d_{y})}^{2} + {(d_{z})}^{2} }$

$\implies d_{net} = \sqrt{ {(2)}^{2} + {(1)}^{2} + {(2)}^{2} }$

$\implies d_{net} = \sqrt{ 4 + 1 + 4}$

$\implies d_{net} = \sqrt{ 9}$

$\implies d_{net} = 3 \: units$