6. Exercises - Revision history

Ian at 14:53, 11 April 2011

2011-04-11T14:53:14Z

←Older revision		Revision as of 14:53, 11 April 2011
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	{{Not selected tab\|[[6. Kinematics in one dimension\|Theory]]}}		{{Not selected tab\|[[6. Kinematics in one dimension\|Theory]]}}
	{{Selected tab\|[[6. Exercises\|Exercises]]}}		{{Selected tab\|[[6. Exercises\|Exercises]]}}
		+	{{Not selected tab\|[[6. Video\|Video]]}}
	\| style="border-bottom:1px solid #797979" width="100%"\|		\| style="border-bottom:1px solid #797979" width="100%"\|
	\|}		\|}

Ian at 12:07, 27 March 2011

2011-03-27T12:07:28Z

←Older revision		Revision as of 12:07, 27 March 2011
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	<div class="ovning">		<div class="ovning">

-	As a lift descends, it ~~accelerating~~ at a constant rate from rest until it reaches a speed of 0.6 <math>\text{m}{{\text{s}}^{-1}}</math> after 8 seconds.	+	As a lift descends, it accelerates at a constant rate from rest until it reaches a speed of 0.6 <math>\text{m}{{\text{s}}^{-1}}</math> after 8 seconds.

	a) Find the acceleration of the lift.		a) Find the acceleration of the lift.

Ian at 15:46, 10 April 2010

2010-04-10T15:46:13Z

←Older revision		Revision as of 15:46, 10 April 2010
Line 106:		Line 106:

	As a lift descends, it accelerating at a constant rate from rest until it reaches a speed of 0.6 <math>\text{m}{{\text{s}}^{-1}}</math> after 8 seconds.		As a lift descends, it accelerating at a constant rate from rest until it reaches a speed of 0.6 <math>\text{m}{{\text{s}}^{-1}}</math> after 8 seconds.
-	(a) Find the acceleration of the lift.	+
-	(b) The lift continues to accelerate for a further 2 seconds. Find the	+	a) Find the acceleration of the lift.
		+
		+	b) The lift continues to accelerate for a further 2 seconds. Find the
	distance that the lift has now travelled.		distance that the lift has now travelled.
-	(c) The lift then slows down, at a constant rate, and stops after a	+
		+	c) The lift then slows down, at a constant rate, and stops after a
	further 5 seconds. Find the total distance travelled by the lift.		further 5 seconds. Find the total distance travelled by the lift.

Ian at 14:00, 11 September 2009

2009-09-11T14:00:46Z

←Older revision		Revision as of 14:00, 11 September 2009
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	</div>{{#NAVCONTENT:Answer\|Answer 6.9\|Solution\|Solution 6.9}}		</div>{{#NAVCONTENT:Answer\|Answer 6.9\|Solution\|Solution 6.9}}
		+
		+
		+	===Exercise 6.10===
		+	<div class="ovning">
		+
		+	A sprinter starts from rest, and accelerates at 2 <math>\text{m}{{\text{s}}^{-2}}</math> for the first 4 seconds of a race. Assume that the sprinter moves along a straight line.
		+
		+	a) Find the distance travelled by the sprinter in the first 4 seconds.
		+
		+	b) Find the speed of the sprinter at the end of the first 4 seconds.
		+
		+	c) The sprinter then travels at this constant speed for the rest of the race. He travels a total distance of 100 metres. Find the total time that he takes to complete the race.
		+
		+
		+	</div>{{#NAVCONTENT:Answer a\|Answer 6.10a\|Answer b\|Answer 6.10b\|Answer c\|Answer 6.10c\|Solution a\|Solution 6.10a\|Solution b\|Solution 6.10b\|Solution c\|Solution 6.10c}}

Ian at 13:51, 11 September 2009

2009-09-11T13:51:55Z

←Older revision		Revision as of 13:51, 11 September 2009
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	</div>{{#NAVCONTENT:Answer a\|Answer 6.8a\|Answer b\|Answer 6.8b\|Answer c\|Answer 6.8c\|Solution a\|Solution 6.8a\|Solution b\|Solution 6.8b\|Solution c\|Solution 6.8c}}		</div>{{#NAVCONTENT:Answer a\|Answer 6.8a\|Answer b\|Answer 6.8b\|Answer c\|Answer 6.8c\|Solution a\|Solution 6.8a\|Solution b\|Solution 6.8b\|Solution c\|Solution 6.8c}}
		+
		+
		+	===Exercise 6.9===
		+	<div class="ovning">
		+
		+	A car decelerates from a velocity of 36 <math>\text{m}{{\text{s}}^{-1}}</math>.
		+	The magnitude of the deceleration is
		+	<math>3\ \text{m}{{\text{s}}^{-2}}</math>. Calculate the time required for the car to travel a distance of 162 m.
		+
		+
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 6.9\|Solution\|Solution 6.9}}

Ian at 13:42, 11 September 2009

2009-09-11T13:42:44Z

←Older revision		Revision as of 13:42, 11 September 2009
Line 100:		Line 100:

	</div>{{#NAVCONTENT:Answer\|Answer 6.7\|Solution a\|Solution 6.7a\|Solution b\|Solution 6.7b}}		</div>{{#NAVCONTENT:Answer\|Answer 6.7\|Solution a\|Solution 6.7a\|Solution b\|Solution 6.7b}}
		+
		+
		+	===Exercise 6.8===
		+	<div class="ovning">
		+
		+	As a lift descends, it accelerating at a constant rate from rest until it reaches a speed of 0.6 <math>\text{m}{{\text{s}}^{-1}}</math> after 8 seconds.
		+	(a) Find the acceleration of the lift.
		+	(b) The lift continues to accelerate for a further 2 seconds. Find the
		+	distance that the lift has now travelled.
		+	(c) The lift then slows down, at a constant rate, and stops after a
		+	further 5 seconds. Find the total distance travelled by the lift.
		+
		+
		+	</div>{{#NAVCONTENT:Answer a\|Answer 6.8a\|Answer b\|Answer 6.8b\|Answer c\|Answer 6.8c\|Solution a\|Solution 6.8a\|Solution b\|Solution 6.8b\|Solution c\|Solution 6.8c}}

Ian at 13:37, 11 September 2009

2009-09-11T13:37:26Z

←Older revision		Revision as of 13:37, 11 September 2009
Line 1:		Line 1:
-	a) 0~~.65 <math>\text~~{m}{{~~\text{s~~}}^{-2}}~~</math>~~	+	__NOTOC__
		+	{\| border="0" cellspacing="0" cellpadding="0" height="30" width="100%"
		+	\| style="border-bottom:1px solid #797979" width="5px" \|
		+	{{Not selected tab\|[[6. Kinematics in one dimension\|Theory]]}}
		+	{{Selected tab\|[[6. Exercises\|Exercises]]}}
		+	\| style="border-bottom:1px solid #797979" width="100%"\|
		+	\|}

-	b) ~~250~~ m	+	===Exercise 6.1===
		+	<div class="ovning">
		+
		+	The graph shows how the velocity of a van changes during a short journey. Find the distance travelled by the van.
		+
		+	[[Image:E6.1.GIF]]
		+	</div>{{#NAVCONTENT:Answer\|Answer 6.1\|Solution\|Solution 6.1}}
		+
		+
		+	===Exercise 6.2===
		+	<div class="ovning">
		+	The graph below shows how the velocity of a train changes as it travels along a straight railway line.
		+
		+
		+	[[Image:E6.2.GIF]]
		+
		+	a) Find the total distance travelled by the train in the 180 seconds..
		+
		+	b) Find the acceleration of the train on the first stage of the motion.
		+
		+
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 6.2\|Solution a\|Solution 6.2a\|Solution b\|Solution 6.2b}}
		+
		+
		+	===Exercise 6.3===
		+	<div class="ovning">
		+
		+	The diagram shows a velocity-time graph for a lift.
		+
		+	[[Image:E6.3.GIF]]
		+
		+	a) Find the total distance travelled by the lift.
		+
		+	b) Calculate the acceleration of the lift during the last 2 seconds.
		+
		+	c) At what times is the speed of the lift 1 <math>\text{m}{{\text{s}}^{-1}}</math>?
		+
		+	</div>{{#NAVCONTENT:Answer a\|Answer 6.3a\|Answer b\|Answer 6.3b\|Answer c\|Answer 6.3c\|Solution a\|Solution 6.3a\|Solution b\|Solution 6.3b\|Solution c\|Solution 6.3c}}
		+
		+
		+	===Exercise 6.4===
		+	<div class="ovning">
		+
		+
		+	As a train travels 500 m its speed increases from 5 <math>\text{m}{{\text{s}}^{-1}}</math> to 15 <math>\text{m}{{\text{s}}^{-1}}</math>. Assume that its acceleration is constant.
		+
		+	a) Find the acceleration of the train.
		+
		+	b) Find the time it takes the train to travel this distance.
		+
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 6.4\|Solution a\|Solution 6.4a\|Solution b\|Solution 6.4b}}
		+
		+
		+	===Exercise 6.5===
		+	<div class="ovning">
		+
		+	A cyclist accelerates at 0.5 <math>\text{m}{{\text{s}}^{-2}}</math> from rest for 10 seconds, as she travels along a straight line.
		+
		+	a) Find the distance travelled by the cyclist during the 10 seconds and the speed that she reaches at the end of this period of time.
		+
		+	b) After the 10 seconds her acceleration changes to 0.2 <math>\text{m}{{\text{s}}^{-2}}</math> and then remains constant for a further 5 seconds. Find the speed of the cyclist and the total distance that she has travelled at the end of the 15 seconds.
		+
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 6.5\|Solution a\|Solution 6.5a\|Solution b\|Solution 6.5b}}
		+
		+
		+
		+	===Exercise 6.6===
		+	<div class="ovning">
		+
		+	As a van travels along a straight road its speed increases from 9 <math>\text{m}{{\text{s}}^{-1}}</math> to 24 <math>\text{m}{{\text{s}}^{-1}}</math> as it travels 495 m.
		+
		+	a) Find the acceleration of the van.
		+
		+	b) Find the time taken by the van to travel the 495 m.
		+
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 6.6\|Solution a\|Solution 6.6a\|Solution b\|Solution 6.6b}}
		+
		+
		+	===Exercise 6.7===
		+	<div class="ovning">
		+
		+	A vehicle accelerates uniformly from 6 <math>\text{m}{{\text{s}}^{-1}}</math> to 19 <math>\text{m}{{\text{s}}^{-1}}</math>, in a 20 second period of time, as it travels in a straight line.
		+
		+	a) Find the acceleration of the vehicle.
		+
		+	b) Find the distance travelled by the vehicle.
		+
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 6.7\|Solution a\|Solution 6.7a\|Solution b\|Solution 6.7b}}

Ian: Replacing page with 'a) 0.65 $\text{m}{{\text{s}}^{-2}}$ b) 250 m'

2009-09-11T13:36:50Z

Replacing page with 'a) 0.65 <math>\text{m}{{\text{s}}^{-2}}</math> b) 250 m'

←Older revision		Revision as of 13:36, 11 September 2009
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-	~~__NOTOC__~~	+	a) 0.65 <math>\text{m}{{\text{s}}^{-2}}</math>
-	~~{\| border="~~0~~" cellspacing="0" cellpadding="0" height="30" width="100%"~~	+
-	~~\| style="border-bottom:1px solid #797979" width="5px" \|  ~~	+
-	{~~{Not selected tab\|[[6. Kinematics in one dimension\|Theory]]}~~}	+
-	{{~~Selected tab\|[[6. Exercises\|Exercises]]~~}}	+
-	~~\| style="border~~-~~bottom:1px solid #797979" width="100%"\|  ~~	+
-	\|}	+

-	~~===Exercise 6.1===~~	+	b) 250 m
-	~~<div class="ovning">~~	+
-		+
-	~~The graph shows how the velocity of a van changes during a short journey. Find the distance travelled by the van.~~	+
-		+
-	~~[[Image:E6.1.GIF]]~~	+
-	~~</div>{{#NAVCONTENT:Answer\|Answer 6.1\|Solution\|Solution 6.1}}~~	+
-		+
-		+
-	~~===Exercise 6.2===~~	+
-	~~<div class="ovning">~~	+
-	~~The graph below shows how the velocity of a train changes as it travels along a straight railway line.~~	+
-		+
-		+
-	~~[[Image:E6.2.GIF]]~~	+
-		+
-	~~a) Find the total distance travelled by the train in the 180 seconds..~~	+
-		+
-	b) ~~Find the acceleration of the train on the first stage of the motion.~~	+
-		+
-		+
-		+
-	~~</div>{{#NAVCONTENT:Answer\|Answer 6.2\|Solution a\|Solution 6.2a\|Solution b\|Solution 6.2b}}~~	+
-		+
-		+
-	~~===Exercise 6.3===~~	+
-	~~<div class="ovning">~~	+
-		+
-	~~The diagram shows a velocity-time graph for a lift.~~	+
-		+
-	~~[[Image:E6.3.GIF]]~~	+
-		+
-	~~a) Find the total distance travelled by the lift.~~	+
-		+
-	~~b) Calculate the acceleration of the lift during the last 2 seconds.~~	+
-		+
-	~~c) At what times is the speed of the lift 1 <math>\text{~~m~~}{{\text{s}}^{-1}}</math>?~~	+
-		+
-	~~</div>{{#NAVCONTENT:Answer a\|Answer 6.3a\|Answer b\|Answer 6.3b\|Answer c\|Answer 6.3c\|Solution a\|Solution 6.3a\|Solution b\|Solution 6.3b\|Solution c\|Solution 6.3c}}~~	+
-		+
-		+
-	~~===Exercise 6.4===~~	+
-	~~<div class="ovning">~~	+
-		+
-		+
-	~~As a train travels 500 m its speed increases from 5 <math>\text{m}{{\text{s}}^{-1}}</math> to 15 <math>\text{m}{{\text{s}}^{-1}}</math>. Assume that its acceleration is constant.~~	+
-		+
-	~~a) Find the acceleration of the train.~~	+
-		+
-	~~b) Find the time it takes the train to travel this distance.~~	+
-		+
-		+
-	~~</div>{{#NAVCONTENT:Answer\|Answer 6.4\|Solution a\|Solution 6.4a\|Solution b\|Solution 6.4b}}~~	+
-		+
-		+
-	~~===Exercise 6.5===~~	+
-	~~<div class="ovning">~~	+
-		+
-	~~A cyclist accelerates at 0.5 <math>\text{m}{{\text{s}}^{-2}}</math> from rest for 10 seconds, as she travels along a straight line.~~	+
-		+
-	~~a) Find the distance travelled by the cyclist during the 10 seconds and the speed that she reaches at the end of this period of time.~~	+
-		+
-	b) After the 10 seconds her acceleration changes to 0.2 <math>\text{m}{{\text{s}}^{-2}}</math> and then remains constant for a further 5 seconds. Find the speed of the cyclist and the total distance that she has travelled at the end of the 15 seconds.	+
-		+
-		+
-	~~</div>{{#NAVCONTENT:Answer\|Answer 6.5\|Solution a\|Solution 6.5a\|Solution b\|Solution 6.5b}}~~	+
-		+
-		+
-		+
-	~~===Exercise 6.6===~~	+
-	~~<div class="ovning">~~	+
-		+
-	~~As a van travels along a straight road its speed increases from 9 <math>\text{m}{{\text{s}}^{-1}}</math> to 24 <math>\text{m}{{\text{s}}^{-1}}</math> as it travels 495 m.~~	+
-		+
-	~~a) Find the acceleration of the van.~~	+
-		+
-	~~b) Find the time taken by the van to travel the 495 m.~~	+
-		+
-		+
-	~~</div>{{#NAVCONTENT:Answer\|Answer 6.6\|Solution a\|Solution 6.6a\|Solution b\|Solution 6.6b}}~~	+

Ian at 13:31, 11 September 2009

2009-09-11T13:31:40Z

←Older revision		Revision as of 13:31, 11 September 2009
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	</div>{{#NAVCONTENT:Answer\|Answer 6.5\|Solution a\|Solution 6.5a\|Solution b\|Solution 6.5b}}		</div>{{#NAVCONTENT:Answer\|Answer 6.5\|Solution a\|Solution 6.5a\|Solution b\|Solution 6.5b}}
		+
		+
		+
		+	===Exercise 6.6===
		+	<div class="ovning">
		+
		+	As a van travels along a straight road its speed increases from 9 <math>\text{m}{{\text{s}}^{-1}}</math> to 24 <math>\text{m}{{\text{s}}^{-1}}</math> as it travels 495 m.
		+
		+	a) Find the acceleration of the van.
		+
		+	b) Find the time taken by the van to travel the 495 m.
		+
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 6.6\|Solution a\|Solution 6.6a\|Solution b\|Solution 6.6b}}

Ian at 13:27, 11 September 2009

2009-09-11T13:27:38Z

←Older revision		Revision as of 13:27, 11 September 2009
Line 48:		Line 48:


-	===Exercise 6.2===	+	===Exercise 6.4===
	<div class="ovning">		<div class="ovning">

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	</div>{{#NAVCONTENT:Answer\|Answer 6.4\|Solution a\|Solution 6.4a\|Solution b\|Solution 6.4b}}		</div>{{#NAVCONTENT:Answer\|Answer 6.4\|Solution a\|Solution 6.4a\|Solution b\|Solution 6.4b}}
		+
		+
		+	===Exercise 6.5===
		+	<div class="ovning">
		+
		+	A cyclist accelerates at 0.5 <math>\text{m}{{\text{s}}^{-2}}</math> from rest for 10 seconds, as she travels along a straight line.
		+
		+	a) Find the distance travelled by the cyclist during the 10 seconds and the speed that she reaches at the end of this period of time.
		+
		+	b) After the 10 seconds her acceleration changes to 0.2 <math>\text{m}{{\text{s}}^{-2}}</math> and then remains constant for a further 5 seconds. Find the speed of the cyclist and the total distance that she has travelled at the end of the 15 seconds.
		+
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 6.5\|Solution a\|Solution 6.5a\|Solution b\|Solution 6.5b}}

←Older revision		Revision as of 14:53, 11 April 2011
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	{{Not selected tab\|[[6. Kinematics in one dimension\|Theory]]}}		{{Not selected tab\|[[6. Kinematics in one dimension\|Theory]]}}
	{{Selected tab\|[[6. Exercises\|Exercises]]}}		{{Selected tab\|[[6. Exercises\|Exercises]]}}
		+	{{Not selected tab\|[[6. Video\|Video]]}}
	\| style="border-bottom:1px solid #797979" width="100%"\|		\| style="border-bottom:1px solid #797979" width="100%"\|
	\|}		\|}