12 x1 t04 04 travel graphs (2012)
TRANSCRIPT
![Page 1: 12 x1 t04 04 travel graphs (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052412/5584995dd8b42a05388b4e40/html5/thumbnails/1.jpg)
Travel Graphs
![Page 2: 12 x1 t04 04 travel graphs (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052412/5584995dd8b42a05388b4e40/html5/thumbnails/2.jpg)
Travel Graphs 5 8x t t
e.g. A ball is bounced and its distance from the ground is graphed.x
t
20
40
80
60
2 4 6 8
![Page 3: 12 x1 t04 04 travel graphs (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052412/5584995dd8b42a05388b4e40/html5/thumbnails/3.jpg)
Travel Graphs 5 8x t t
e.g. A ball is bounced and its distance from the ground is graphed.x
t
20
40
80
60
2 4 6 8
Distance = total amount travelled
![Page 4: 12 x1 t04 04 travel graphs (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052412/5584995dd8b42a05388b4e40/html5/thumbnails/4.jpg)
Travel Graphs 5 8x t t
e.g. A ball is bounced and its distance from the ground is graphed.x
t
20
40
80
60
2 4 6 8
Distance = total amount travelledDisplacement = how far from the starting point
![Page 5: 12 x1 t04 04 travel graphs (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052412/5584995dd8b42a05388b4e40/html5/thumbnails/5.jpg)
Travel Graphs 5 8x t t
(i) Find the height of the ball after 1 second
e.g. A ball is bounced and its distance from the ground is graphed.x
t
20
40
80
60
2 4 6 8
Distance = total amount travelledDisplacement = how far from the starting point
![Page 6: 12 x1 t04 04 travel graphs (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052412/5584995dd8b42a05388b4e40/html5/thumbnails/6.jpg)
Travel Graphs 5 8x t t
when 1, 5 1 8 1t x (i) Find the height of the ball after 1 second
e.g. A ball is bounced and its distance from the ground is graphed.x
t
20
40
80
60
2 4 6 8
Distance = total amount travelledDisplacement = how far from the starting point
35
![Page 7: 12 x1 t04 04 travel graphs (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052412/5584995dd8b42a05388b4e40/html5/thumbnails/7.jpg)
Travel Graphs 5 8x t t
when 1, 5 1 8 1t x (i) Find the height of the ball after 1 second
After 1 second the ball is 35 metres above the ground
e.g. A ball is bounced and its distance from the ground is graphed.x
t
20
40
80
60
2 4 6 8
Distance = total amount travelledDisplacement = how far from the starting point
35
![Page 8: 12 x1 t04 04 travel graphs (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052412/5584995dd8b42a05388b4e40/html5/thumbnails/8.jpg)
(ii) At what other time is the ball this same height above the ground?
![Page 9: 12 x1 t04 04 travel graphs (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052412/5584995dd8b42a05388b4e40/html5/thumbnails/9.jpg)
(ii) At what other time is the ball this same height above the ground?when 35,x
![Page 10: 12 x1 t04 04 travel graphs (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052412/5584995dd8b42a05388b4e40/html5/thumbnails/10.jpg)
(ii) At what other time is the ball this same height above the ground? 5 8 35t t
8 7t t
1 7 0t t
when 35,x
2
2
8 78 7 0t t
t t
1 or 7t t
![Page 11: 12 x1 t04 04 travel graphs (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052412/5584995dd8b42a05388b4e40/html5/thumbnails/11.jpg)
(ii) At what other time is the ball this same height above the ground? 5 8 35t t
ball is 35 metres above ground again after 7 seconds
8 7t t
1 7 0t t
when 35,x
2
2
8 78 7 0t t
t t
1 or 7t t
![Page 12: 12 x1 t04 04 travel graphs (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052412/5584995dd8b42a05388b4e40/html5/thumbnails/12.jpg)
(ii) At what other time is the ball this same height above the ground? 5 8 35t t
ball is 35 metres above ground again after 7 seconds
change in displacementchange in time
8 7t t
1 7 0t t
when 35,x
2
2
8 78 7 0t t
t t
1 or 7t t
Average velocity =
![Page 13: 12 x1 t04 04 travel graphs (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052412/5584995dd8b42a05388b4e40/html5/thumbnails/13.jpg)
(ii) At what other time is the ball this same height above the ground? 5 8 35t t
ball is 35 metres above ground again after 7 seconds
change in displacementchange in time
2 1
2 1
x xt t
8 7t t
1 7 0t t
when 35,x
2
2
8 78 7 0t t
t t
1 or 7t t
Average velocity =
![Page 14: 12 x1 t04 04 travel graphs (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052412/5584995dd8b42a05388b4e40/html5/thumbnails/14.jpg)
(iii) Find the average velocity during the 1st second
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(iii) Find the average velocity during the 1st second2 1
2 1
average velocity
35 01 0
35
x xt t
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(iii) Find the average velocity during the 1st second2 1
2 1
average velocity
35 01 0
35
x xt t
average velocity during the 1st second was 35m/s
![Page 17: 12 x1 t04 04 travel graphs (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052412/5584995dd8b42a05388b4e40/html5/thumbnails/17.jpg)
(iii) Find the average velocity during the 1st second2 1
2 1
average velocity
35 01 0
35
x xt t
average velocity during the 1st second was 35m/s
(iv) Find the average velocity during the fifth second
![Page 18: 12 x1 t04 04 travel graphs (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052412/5584995dd8b42a05388b4e40/html5/thumbnails/18.jpg)
(iii) Find the average velocity during the 1st second2 1
2 1
average velocity
35 01 0
35
x xt t
average velocity during the 1st second was 35m/s
when 4, 5 4 8 4 =80
t x
(iv) Find the average velocity during the fifth second
![Page 19: 12 x1 t04 04 travel graphs (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052412/5584995dd8b42a05388b4e40/html5/thumbnails/19.jpg)
(iii) Find the average velocity during the 1st second2 1
2 1
average velocity
35 01 0
35
x xt t
average velocity during the 1st second was 35m/s
when 4, 5 4 8 4 =80
t x
(iv) Find the average velocity during the fifth second
when 5, 5 5 8 5 =75
t x
![Page 20: 12 x1 t04 04 travel graphs (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052412/5584995dd8b42a05388b4e40/html5/thumbnails/20.jpg)
(iii) Find the average velocity during the 1st second2 1
2 1
average velocity
35 01 0
35
x xt t
average velocity during the 1st second was 35m/s
when 4, 5 4 8 4 =80
t x
(iv) Find the average velocity during the fifth second2 1
2 1
average velocity
75 805 45
x xt t
when 5, 5 5 8 5 =75
t x
![Page 21: 12 x1 t04 04 travel graphs (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052412/5584995dd8b42a05388b4e40/html5/thumbnails/21.jpg)
(iii) Find the average velocity during the 1st second2 1
2 1
average velocity
35 01 0
35
x xt t
average velocity during the 1st second was 35m/s
when 4, 5 4 8 4 =80
t x
(iv) Find the average velocity during the fifth second2 1
2 1
average velocity
75 805 45
x xt t
average velocity during the 5th second was 5m/s
when 5, 5 5 8 5 =75
t x
![Page 22: 12 x1 t04 04 travel graphs (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052412/5584995dd8b42a05388b4e40/html5/thumbnails/22.jpg)
(iv) Find the average velocity during its 8 seconds in the air
![Page 23: 12 x1 t04 04 travel graphs (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052412/5584995dd8b42a05388b4e40/html5/thumbnails/23.jpg)
(iv) Find the average velocity during its 8 seconds in the air2 1
2 1
average velocity
0 08 00
x xt t
![Page 24: 12 x1 t04 04 travel graphs (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052412/5584995dd8b42a05388b4e40/html5/thumbnails/24.jpg)
(iv) Find the average velocity during its 8 seconds in the air2 1
2 1
average velocity
0 08 00
x xt t
average velocity during the 8 seconds was 0m/s
![Page 25: 12 x1 t04 04 travel graphs (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052412/5584995dd8b42a05388b4e40/html5/thumbnails/25.jpg)
distance travelledtime taken
Average speed =
(iv) Find the average velocity during its 8 seconds in the air2 1
2 1
average velocity
0 08 00
x xt t
average velocity during the 8 seconds was 0m/s
![Page 26: 12 x1 t04 04 travel graphs (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052412/5584995dd8b42a05388b4e40/html5/thumbnails/26.jpg)
distance travelledtime taken
Average speed =
(iv) Find the average velocity during its 8 seconds in the air2 1
2 1
average velocity
0 08 00
x xt t
average velocity during the 8 seconds was 0m/s
(v) Find the average speed during its 8 seconds in the air
![Page 27: 12 x1 t04 04 travel graphs (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052412/5584995dd8b42a05388b4e40/html5/thumbnails/27.jpg)
distance travelledtime taken
Average speed =
(iv) Find the average velocity during its 8 seconds in the air2 1
2 1
average velocity
0 08 00
x xt t
average velocity during the 8 seconds was 0m/s
(v) Find the average speed during its 8 seconds in the airdistance travelledaverage speed
time taken
![Page 28: 12 x1 t04 04 travel graphs (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052412/5584995dd8b42a05388b4e40/html5/thumbnails/28.jpg)
distance travelledtime taken
Average speed =
(iv) Find the average velocity during its 8 seconds in the air2 1
2 1
average velocity
0 08 00
x xt t
average velocity during the 8 seconds was 0m/s
(v) Find the average speed during its 8 seconds in the airdistance travelledaverage speed
time taken
1608
20
![Page 29: 12 x1 t04 04 travel graphs (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052412/5584995dd8b42a05388b4e40/html5/thumbnails/29.jpg)
distance travelledtime taken
Average speed =
(iv) Find the average velocity during its 8 seconds in the air2 1
2 1
average velocity
0 08 00
x xt t
average velocity during the 8 seconds was 0m/s
(v) Find the average speed during its 8 seconds in the airdistance travelledaverage speed
time taken
1608
20
average speed during the 8 seconds was 20m/s
![Page 30: 12 x1 t04 04 travel graphs (2012)](https://reader033.vdocuments.us/reader033/viewer/2022052412/5584995dd8b42a05388b4e40/html5/thumbnails/30.jpg)
Exercise 3A; 2, 4, 6, 7, 8, 10, 11, 13