Solution 8.9a - Revision history

Ian at 15:18, 19 April 2010

Ian — Mon, 19 Apr 2010 15:18:02 GMT

←Older revision		Revision as of 15:18, 19 April 2010
Line 1:		Line 1:
	Here we use <math>\mathbf{r}=\mathbf{u}t+\frac{1}{2}\mathbf{a}{{t}^{\ 2}}+{{\mathbf{r}}_{0}}</math> with		Here we use <math>\mathbf{r}=\mathbf{u}t+\frac{1}{2}\mathbf{a}{{t}^{\ 2}}+{{\mathbf{r}}_{0}}</math> with

-	<math>{{\mathbf{r}}_{0}}=1\textrm{.}5\mathbf{i} \text{ m}</math>	+	<math>{{\mathbf{r}}_{0}}=1\textrm{.}5\mathbf{j} \text{ m}</math>

	<math>\mathbf{u}=15\mathbf{i}+18\mathbf{j}\text{ m}{{\text{s}}^{\text{-1}}}</math>		<math>\mathbf{u}=15\mathbf{i}+18\mathbf{j}\text{ m}{{\text{s}}^{\text{-1}}}</math>
Line 8:		Line 8:

	<math>t=3\text{ s}</math>		<math>t=3\text{ s}</math>
		+
		+	Giving <math>\mathbf{r}=(15\mathbf{i}+18\mathbf{j} ) \times 3+\frac{1}{2}(-10\mathbf{j}) \times {{3}^{\ 2}}+1\textrm{.}5\mathbf{j}</math>
		+
		+	Simplifying <math>\mathbf{r}=45\mathbf{i}+54\mathbf{j}-45\mathbf{j} +1\textrm{.}5\mathbf{j}=45\mathbf{i}+10\textrm{.}5\mathbf{j} \text{ m} </math>

Ian at 15:06, 19 April 2010

Ian — Mon, 19 Apr 2010 15:06:31 GMT

←Older revision		Revision as of 15:06, 19 April 2010
Line 1:		Line 1:
-	Here we use ~~the equation~~ <math>\mathbf{v}=\mathbf{u}+\mathbf{a}t</math> with	+	Here we use <math>\mathbf{r}=\mathbf{u}t+\frac{1}{2}\mathbf{a}{{t}^{\ 2}}+{{\mathbf{r}}_{0}}</math> with

-	<math>~~\mathbf~~{~~u}=<math>4\mathbf~~{~~i}+6~~\mathbf{j}~~\text{ m~~}{~~{\text{s~~}}~~^{\text{-~~1~~}}}</math> and <math>~~\~~mathbf~~{v}~~=24~~\mathbf{i}~~+46\mathbf{j~~\text{ m~~}{{\text{s}}^{\text{-1}}}~~}</math>.	+	<math>{{\mathbf{r}}_{0}}=1\textrm{.}5\mathbf{i} \text{ m}</math>

-	~~Also~~ <math>t=20\text{ s}</math> ~~whichh gives,~~	+	<math>\mathbf{u}=15\mathbf{i}+18\mathbf{j}\text{ m}{{\text{s}}^{\text{-1}}}</math>

-	<math>24\mathbf{~~i}+46\mathbf{j~~}=~~4\mathbf{i}+6~~\mathbf{j}~~+\mathbf{a} \times 20~~</math>	+	<math>\mathbf{a}=-10\mathbf{j}</math>

-	~~So,~~	+	<math>t=3\text{ s}</math>
-		+
-	<math>~~20\mathbf{a}~~=~~20\mathbf{i}+40\mathbf{j}</math>~~	+
-	~~giving,~~	+
-		+
-	~~<math>\mathbf{a}=\mathbf{i}+2\mathbf{j} \text{ m}{{~~\text{s~~}}^{\text{-2}}~~}</math>	+

Ian at 15:09, 18 April 2010

Ian — Sun, 18 Apr 2010 15:09:59 GMT

←Older revision		Revision as of 15:09, 18 April 2010
Line 3:		Line 3:
	<math>\mathbf{u}=<math>4\mathbf{i}+6\mathbf{j}\text{ m}{{\text{s}}^{\text{-1}}}</math> and <math>\mathbf{v}=24\mathbf{i}+46\mathbf{j\text{ m}{{\text{s}}^{\text{-1}}}}</math>.		<math>\mathbf{u}=<math>4\mathbf{i}+6\mathbf{j}\text{ m}{{\text{s}}^{\text{-1}}}</math> and <math>\mathbf{v}=24\mathbf{i}+46\mathbf{j\text{ m}{{\text{s}}^{\text{-1}}}}</math>.

-	Also <math>t=20\text{ s}</math>	+	Also <math>t=20\text{ s}</math> whichh gives,
		+
		+	<math>24\mathbf{i}+46\mathbf{j}=4\mathbf{i}+6\mathbf{j}+\mathbf{a} \times 20</math>
		+
		+	So,
		+
		+	<math>20\mathbf{a}=20\mathbf{i}+40\mathbf{j}</math>
		+	giving,
		+
		+	<math>\mathbf{a}=\mathbf{i}+2\mathbf{j} \text{ m}{{\text{s}}^{\text{-2}}}</math>

Ian: New page: Here we use the equation $\mathbf{v}=\mathbf{u}+\mathbf{a}t$ with $\mathbf{u}= 4\mathbf{i}+6\mathbf{j}\text{ m}{{\text{s}}^{\text{-1}}} and \mathbf{v}...$

Ian — Sun, 18 Apr 2010 14:45:37 GMT

New page: Here we use the equation <math>\mathbf{v}=\mathbf{u}+\mathbf{a}t</math> with <math>\mathbf{u}=<math>4\mathbf{i}+6\mathbf{j}\text{ m}{{\text{s}}^{\text{-1}}}</math> and <math>\mathbf{v}...

New page

Here we use the equation <math>\mathbf{v}=\mathbf{u}+\mathbf{a}t</math> with

<math>\mathbf{u}=<math>4\mathbf{i}+6\mathbf{j}\text{ m}{{\text{s}}^{\text{-1}}}</math> and <math>\mathbf{v}=24\mathbf{i}+46\mathbf{j\text{ m}{{\text{s}}^{\text{-1}}}}</math>.

Also <math>t=20\text{ s}</math>

Solution 8.9a - Revision history

Ian at 15:18, 19 April 2010

Ian at 15:06, 19 April 2010

Ian at 15:09, 18 April 2010

Ian: New page: Here we use the equation \mathbf{v}=\mathbf{u}+\mathbf{a}t with \mathbf{u}=4\mathbf{i}+6\mathbf{j}\text{ m}{{\text{s}}^{\text{-1}}} and \mathbf{v}...

Ian: New page: Here we use the equation $\mathbf{v}=\mathbf{u}+\mathbf{a}t$ with $\mathbf{u}= 4\mathbf{i}+6\mathbf{j}\text{ m}{{\text{s}}^{\text{-1}}} and \mathbf{v}...$