Ian at 15:25, 13 April 2010

2010-04-13T15:25:44Z

←Older revision		Revision as of 15:25, 13 April 2010
Line 8:		Line 8:
	Substituting these into the equation		Substituting these into the equation
	<math>\mathbf{v}=\mathbf{u}+\mathbf{a}t \ \</math>		<math>\mathbf{v}=\mathbf{u}+\mathbf{a}t \ \</math>
-	gives the velocity of the ~~ball~~ at time <math>t=4 \text{ s }</math> as:	+	gives the velocity of the body at time <math>t=4 \text{ s }</math> as:


Line 16:		Line 16:

	<math>\mathbf{v}=8\mathbf{i}+12\mathbf{j} \ \text{ m}{{\text{s}}^{\text{-1}}}</math>		<math>\mathbf{v}=8\mathbf{i}+12\mathbf{j} \ \text{ m}{{\text{s}}^{\text{-1}}}</math>
		+
		+	Then substituting the above into the equation
		+	<math>\mathbf{r}=\mathbf{u}t+\frac{1}{2}\mathbf{a}{{t}^{\ 2}}+{{\mathbf{r}}_{0}}</math>
		+	gives the position vector of the body at time <math>t=4 \text{ s }</math> as:
		+
		+	<math>\begin{align}
		+	& \mathbf{r}=0\times 4+\frac{1}{2}(2\mathbf{i}+3\mathbf{j})\times {{4}^{\ 2}}+0 \\
		+	& =16\mathbf{i}+24\mathbf{j} \ \text{m}
		+	\end{align}</math>

Ian: New page: In this case we have $\mathbf{u}=0$ , $\mathbf{a}=2\mathbf{i}+3\mathbf{j}$ and ${{\mathbf{r}}_{0}}=0$ . Substituting these into the equation $\math...$

2010-04-13T15:20:31Z

New page: In this case we have <math>\mathbf{u}=0</math> , <math>\mathbf{a}=2\mathbf{i}+3\mathbf{j}</math> and <math>{{\mathbf{r}}_{0}}=0</math>. Substituting these into the equation <math>\math...

New page

In this case we have
<math>\mathbf{u}=0</math>
,
<math>\mathbf{a}=2\mathbf{i}+3\mathbf{j}</math>
and
<math>{{\mathbf{r}}_{0}}=0</math>.

Substituting these into the equation
<math>\mathbf{v}=\mathbf{u}+\mathbf{a}t \ \</math>
gives the velocity of the ball at time <math>t=4 \text{ s }</math> as:

<math>\mathbf{v}=0+(2\mathbf{i}+3\mathbf{j})\times 4</math>

which gives

<math>\mathbf{v}=8\mathbf{i}+12\mathbf{j} \ \text{ m}{{\text{s}}^{\text{-1}}}</math>

Solution 8.3 - Revision history

Ian at 15:25, 13 April 2010

Ian: New page: In this case we have \mathbf{u}=0 , \mathbf{a}=2\mathbf{i}+3\mathbf{j} and {{\mathbf{r}}_{0}}=0. Substituting these into the equation \math...

Ian: New page: In this case we have $\mathbf{u}=0$ , $\mathbf{a}=2\mathbf{i}+3\mathbf{j}$ and ${{\mathbf{r}}_{0}}=0$ . Substituting these into the equation $\math...$