Question

The position of a body, moving in a plane, changes from origin to 14î + 11ĵ in 20s. What is the velocity of the body?​

Answer 1

Given:

The position of a body, moving in a plane, changes from origin to 14î + 11ĵ in 20s.

To find:

Velocity of the body?

Calculation:

• Velocity calculated by dividing the net displacement with time.

$\vec{d} = (14 \hat{i} + 11 \hat{j}) - (0 \hat{i} + 0 \hat{j})$

$\implies \vec{d} = 14 \hat{i} + 11 \hat{j}$

$\implies | \vec{d}| = \sqrt{ {14}^{2} + {11}^{2} }$

$\implies | \vec{d}| = \sqrt{317 }$

$\implies | \vec{d}| = 17.8 \: m$

So, velocity will be :

$v = \dfrac{d}{t} = \dfrac{17.8}{20} = 0.89 \: m {s}^{ - 1}$

So, velocity of object is 0.89 m/s.