First slide

Vectors

Question

A particle whose speed is 50 m/s moves along the line from A(2, 1) to B(9, 25). Find the velocity vector in the form of $a \hat{i} + b \hat{j}$

Moderate

A

$(7 \hat{i} + 24 \hat{j}) m / s$
B

$2 (7 \hat{i} + 24 \hat{j}) m / s$
C

$4 (7 \hat{i} + 24 \hat{j}) m / s$
D

$5 (7 \hat{i} + 24 \hat{j}) m / s$

Solution

$\vec{V} = 50 (\hat{A B})$
$| \bar{AB} | = (9 - 2) \hat{i} + (25 - 1) \hat{j} = (7 \hat{i} + 24 \hat{j})$
$| \bar{AB} | = \sqrt{{(7)}^{2} + {(24)}^{2}}$
$\hat{A B} = \frac{(7 \hat{i} + 24 \hat{j})}{\sqrt{{(7)}^{2} + {(24)}^{2}}} = \frac{(7 \hat{i} + 24 \hat{j})}{25}$
$\vec{V} = 50 . \frac{(7 \hat{i} + 24 \hat{j})}{25} = 2 (7 \hat{i} + 24 \hat{j}) m / s$

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