Question

A particle has initial velocity $(2 \hat{i} + 3 \hat{j})$ and acceleration $(0 .3 \hat{i} + 0 .2 \hat{j})$ . The magnitude of velocity after 10 seconds will be

Moderate

Solution

$\vec{v} = \vec{u} + \vec{at}$
= $(2 \hat{i} + 3 \hat{j}) + (0 .3 \hat{i} + 0 .2 \hat{j}) \times 10$
= $(5 \hat{i} + 5 \hat{j}) \Rightarrow | \vec{v |} = 5 \sqrt{2} units$

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