7. Exercises - Versionshistorik

Ian den 11 september 2009 kl. 15.46

2009-09-11T15:46:21Z

← Äldre version		Versionen från 11 september 2009 kl. 15.46
Rad 77:		Rad 77:

	</div>{{#NAVCONTENT:Answer a\|Answer 7.3a\|Answer b\|Answer 7.3b\|Answer c\|Answer 7.3c\|Answer d\|Answer 7.3d\|Solution a\|Solution 7.3a\|Solution c\|Solution 7.3c\|Solution d\|Solution 7.3d}}		</div>{{#NAVCONTENT:Answer a\|Answer 7.3a\|Answer b\|Answer 7.3b\|Answer c\|Answer 7.3c\|Answer d\|Answer 7.3d\|Solution a\|Solution 7.3a\|Solution c\|Solution 7.3c\|Solution d\|Solution 7.3d}}
		+
		+
		+	===Exercise 7.4===
		+	<div class="ovning">
		+
		+
		+	When a frisby moves so that its position, in metres, at time t seconds is modelled by
		+
		+	<math>\mathbf{r}=(5t-{{t}^{2}})\mathbf{i}+7t\mathbf{j}+\left( 24+5t-{{t}^{2}} \right)\mathbf{k}</math>
		+
		+	where <math>\mathbf{i}</math> and <math>\mathbf{j}</math> are perpendicular horizontal unit vectors and <math>\mathbf{k}</math> is a vertical unit vector, and the origin is at ground level.
		+
		+	a) Find the time when the frisby hits the ground.
		+
		+	b) Find the position of the frisby when it hits the ground.
		+
		+	c) Find the distance between the point where the frisby was thrown and the point where it lands.
		+
		+
		+
		+	</div>{{#NAVCONTENT:Answer a\|Answer 7.4a\|Answer b\|Answer 7.4b\|Answer c\|Answer 7.4c\|Solution a\|Solution 7.4a\|Solution b\|Solution 7.4b\|Solution c\|Solution 7.4c}}

Ian den 11 september 2009 kl. 15.38

2009-09-11T15:38:59Z

← Äldre version		Versionen från 11 september 2009 kl. 15.38
Rad 26:		Rad 26:

	</div>{{#NAVCONTENT:Answer a\|Answer 7.1a\|Answer b\|Answer 7.1b\|Answer c\|Answer 7.1c\|Solution a\|Solution 7.1a\|Solution c\|Solution 7.1c}}		</div>{{#NAVCONTENT:Answer a\|Answer 7.1a\|Answer b\|Answer 7.1b\|Answer c\|Answer 7.1c\|Solution a\|Solution 7.1a\|Solution c\|Solution 7.1c}}
		+
		+
		+
		+


Rad 49:		Rad 53:

	</div>{{#NAVCONTENT:Answer\|Answer 7.2\|Solution\|Solution 7.2}}		</div>{{#NAVCONTENT:Answer\|Answer 7.2\|Solution\|Solution 7.2}}
		+
		+
		+	===Exercise 7.3===
		+	<div class="ovning">
		+
		+	A motor boat moves so that its position, in metres, at time t seconds is given by
		+
		+	<math>\mathbf{r}=(2t-16)\mathbf{i}+(4t-12)\mathbf{j}</math>
		+
		+	where <math>\mathbf{i}</math> and <math>\mathbf{j}</math> are unit vectors that are directed east and north respectively.
		+
		+	A rock has position vector <math>174\mathbf{i}+352\mathbf{j}</math>.
		+
		+	a) Find the position of the boat, when t = 0, 40, 80 and 120 seconds.
		+
		+	b) Plot the path of the boat.
		+
		+	c) Find the time when the boat is due north of the rock.
		+
		+	d) Find the time when the boat is due east of the rock.
		+
		+
		+
		+	</div>{{#NAVCONTENT:Answer a\|Answer 7.3a\|Answer b\|Answer 7.3b\|Answer c\|Answer 7.3c\|Answer d\|Answer 7.3d\|Solution a\|Solution 7.3a\|Solution c\|Solution 7.3c\|Solution d\|Solution 7.3d}}

Ian den 11 september 2009 kl. 15.07

2009-09-11T15:07:57Z

← Äldre version		Versionen från 11 september 2009 kl. 15.07
Rad 26:		Rad 26:

	</div>{{#NAVCONTENT:Answer a\|Answer 7.1a\|Answer b\|Answer 7.1b\|Answer c\|Answer 7.1c\|Solution a\|Solution 7.1a\|Solution c\|Solution 7.1c}}		</div>{{#NAVCONTENT:Answer a\|Answer 7.1a\|Answer b\|Answer 7.1b\|Answer c\|Answer 7.1c\|Solution a\|Solution 7.1a\|Solution c\|Solution 7.1c}}
		+
		+
		+	===Exercise 7.2===
		+	<div class="ovning">
		+
		+
		+	Two children, A and B, run so that their position vectors in metres at time
		+	<math>t</math>
		+	seconds are given by:
		+
		+
		+	<math>{{\mathbf{r}}_{A}}=t\mathbf{i}+\frac{9t}{2}\mathbf{j}</math>
		+	and
		+	<math>{{\mathbf{r}}_{B}}=t\mathbf{i}+(9t-{{t}^{2}})\mathbf{j}</math>
		+
		+
		+	Plot the paths of the two children for
		+	<math>0\le t\le </math>4.5
		+	. What happens when
		+	''t''=4.5?
		+
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 7.2\|Solution\|Solution 7.2}}

Ian den 11 september 2009 kl. 14.53

2009-09-11T14:53:56Z

← Äldre version		Versionen från 11 september 2009 kl. 14.53
Rad 6:		Rad 6:
	\| style="border-bottom:1px solid #797979" width="100%"\|		\| style="border-bottom:1px solid #797979" width="100%"\|
	\|}		\|}
		+
		+
		+	===Exercise 7.1===
		+	<div class="ovning">
		+
		+	A football ball is kicked so that its position, in metres, at time t seconds is given by
		+
		+	<math>\mathbf{r}=6t\mathbf{i}+\left( 15t-4.9{{t}^{2}} \right)\mathbf{j}</math>
		+
		+	where <math>\mathbf{i}</math> and <math>\mathbf{j}</math> are horizontal and vertical unit vectors respectively.
		+
		+	a) Find the position of the ball when t = 0, 1, 2, 3 and 4 seconds.
		+
		+	b) Plot the path of the ball.
		+
		+	c) From your plot estimate the horizontal distance travelled by the ball
		+	when it hits the ground.
		+
		+
		+	</div>{{#NAVCONTENT:Answer a\|Answer 7.1a\|Answer b\|Answer 7.1b\|Answer c\|Answer 7.1c\|Solution a\|Solution 7.1a\|Solution c\|Solution 7.1c}}

Ian den 11 september 2009 kl. 14.20

2009-09-11T14:20:50Z

← Äldre version		Versionen från 11 september 2009 kl. 14.20
Rad 2:		Rad 2:
	{\| border="0" cellspacing="0" cellpadding="0" height="30" width="100%"		{\| border="0" cellspacing="0" cellpadding="0" height="30" width="100%"
	\| style="border-bottom:1px solid #797979" width="5px" \|		\| style="border-bottom:1px solid #797979" width="5px" \|
-	{{Not selected tab\|[[6. Position Vectors\|Theory]]}}	+	{{Not selected tab\|[[7. Position Vectors\|Theory]]}}
-	{{Selected tab\|[[6. Exercises\|Exercises]]}}	+	{{Selected tab\|[[7. Exercises\|Exercises]]}}
	\| style="border-bottom:1px solid #797979" width="100%"\|		\| style="border-bottom:1px solid #797979" width="100%"\|
	\|}		\|}

Ian: New page: NOTOC {| border="0" cellspacing="0" cellpadding="0" height="30" width="100%" | style="border-bottom:1px solid #797979" width="5px" | {{Not selected tab|[[6. Position Vectors|The...

2009-09-11T14:20:27Z

New page: __NOTOC__ {| border="0" cellspacing="0" cellpadding="0" height="30" width="100%" | style="border-bottom:1px solid #797979" width="5px" |   {{Not selected tab|[[6. Position Vectors|The...

Ny sida

__NOTOC__
{| border="0" cellspacing="0" cellpadding="0" height="30" width="100%"
| style="border-bottom:1px solid #797979" width="5px" |  
{{Not selected tab|[[6. Position Vectors|Theory]]}}
{{Selected tab|[[6. Exercises|Exercises]]}}
| style="border-bottom:1px solid #797979" width="100%"|  
|}