किसी कण की स्थिति सदिश निम्नलिखित है : \[ \mathbf{r}=\left(3.0 t \hat{\mathbf{i}}-2.0 t^{2} \hat...

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किसी कण की स्थिति सदिश निम्नलिखित है :
\[
\mathbf{r}=\left(3.0 t \hat{\mathbf{i}}-2.0 t^{2} \hat{\mathbf{j}}+4.0 \hat{\mathbf{k}}\right) \mathrm{m}
\]
समय \( t \) सेकंड में है तथा सभी गुणकों के मात्रक इस प्रकार से हैं कि \( \mathbf{r} \) में मीटर में व्यक्त हो जाए । \( t=2.0 \mathrm{~s} \) पर कण के वेग का परिमाण तथा दिशा कितनी होगी ?
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