A particle leaves the origin with initial velocity \(\rm \overrightarrow v =(3\widehat i )m/s\) and a constant acceleration \(\rm \overrightarrow a =(-1\widehat i -0.5 \widehat j)\) m/s2. The position vector of particle, when it reaches its maximum x-coordinate, is

1
\(\rm \frac{9}{2}=(\widehat i - \widehat j)m\)
2
\(\rm \frac{9}{2}=(\widehat i - \frac {\widehat j}{2})m\)
3
\(\rm \frac{9}{2}=(-\widehat i + \widehat j)m\)
4
\(\rm \frac{9}{2}=(\frac{\widehat i}{2} - \widehat j)m\)

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