A particle has an initial velocity 3i^+4j^ and an acceleration of 0.4i^+0.3j^. Its speed after 10s is

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A particle has an initial velocity $3 \hat{i} + 4 \hat{j}$ and an acceleration of $0.4 \hat{i} + 0.3 \hat{j}$ . Its speed after 10s is

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7 units

$7 \sqrt{2} units$

10 units

8.5 units

answer is B.

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$\bar{v} = \bar{u} + \bar{a t}$

$\Rightarrow \bar{v} = (3 \hat{i} + 4 \hat{j}) + (0.4 \hat{i} + 0.3 \hat{j}) 10$

$= 7 \hat{i} + 7 \hat{j} = 7 \sqrt{2} unit$

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