First slide

Relative motion in 2 dimension

Question

A boat is moving with a velocity $3 \hat{i} + 4 \hat{j}$ with respect to ground. The water in the river is moving with a velocity $- 3 \hat{i} - 4 \hat{j}$ with respect to ground. The relative velocity of the boat with respect to water is

Moderate

A

$8 \hat{j}$
B

$- 6 \hat{i} - 8 \hat{j}$
C

$6 \hat{i} + 8 \hat{j}$
D

$5 \sqrt{2}$

Solution

Relative velocity of boat with respect to water is
${\vec{v}}_{b} - {\vec{v}}_{w} = 3 \hat{i} + 4 \hat{j} - (- 3 \hat{i} - 4 \hat{j}) = 6 \hat{i} + 8 \hat{j}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App