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Q.

A body is projected with a velocity 60 ms-1 at 300 to horizontal. Its initial velocity vector is

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a

\large \left( {10\mathop i\limits^\^ + 10\sqrt 3 \mathop j\limits^\^ } \right)m/s

b

\left( {30\mathop i\limits^\^ + 30\sqrt 3 \mathop j\limits^\^ } \right)m/s

c

\left( {30\sqrt 3 \mathop i\limits^\^ + 30\mathop j\limits^\^ } \right)m/s

d

\left( {30\sqrt 3 \mathop i\limits^\^ } \right)m/s

answer is C.

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Detailed Solution

\overline u = u\cos \theta \widehat i + u\sin \theta \widehat j = 60\cos 30\widehat i + 60\sin 30\widehat j
= 30\sqrt 3 \,\widehat i + 30\widehat j

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