From Mechanics

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Revision as of 15:18, 18 April 2010

We must find the position of the particle after 30 s.

Using \displaystyle \mathbf{r}=\mathbf{u}t+\frac{1}{2}\mathbf{a}{{t}^{\ 2}}+{{\mathbf{r}}_{0}} with \displaystyle \ \mathbf{a}=\mathbf{i}+2\mathbf{j} \text{ m}{{\text{s}}^{\text{-2}}}, \displaystyle \ \mathbf{u}=$4\backslash mathbf\{i\}+6\backslash mathbf\{j\}\backslash text\{\; m\}\{\{\backslash text\{s\}\}^\{\backslash text\{-1\}\}\}$ and \displaystyle {{\mathbf{r}}_{0}}=0 gives,

\displaystyle \mathbf{r}=\mathbf{u}t+\frac{1}{2}\mathbf{a}{{t}^{\ 2}}+{{\mathbf{r}}_{0}}