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Q.

A bod is moving with an initial velocity of $10 \sqrt{2} m s^{- 1}$ in the north-east direction. If it is subjected to an acceleration of $2 m s^{- 2}$ directed towards the south, then velocity of body after 5s is

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a

10 m/s, towards east

b

10 m/s, towards north

c

10 m/s, towards south

d

10 m/s, towards north east

answer is A.

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Detailed Solution

Initial velocity
Question Image
$\begin{array}{l} \vec{U} = 10 \sqrt{2} \cos 45^{\circ} \hat{i} \\ + 10 \sqrt{2} \sin 45^{\circ} \hat{j} \\ \vec{a} = 2 (- \hat{j}) = - 2 \hat{j} \end{array}$
Velocity of body after 5s is given by $\vec{V} = \vec{u} + \vec{a} t$
$= 10 \hat{i} = 10 m / s$ towards east

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