12 x1 t04 04 travel graphs (2013)
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Travel Graphs
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
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
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
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
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
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
(ii) At what other time is the ball this same height above the ground?
(ii) At what other time is the ball this same height above the ground?when 35,x
(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
(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
(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 =
(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 =
(iii) Find the average velocity during the 1st second
(iii) Find the average velocity during the 1st second2 1
2 1
average velocity
35 01 0
35
x xt t
(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
(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
(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
(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
(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
(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
(iv) Find the average velocity during its 8 seconds in the air
(iv) Find the average velocity during its 8 seconds in the air2 1
2 1
average velocity
0 08 00
x xt t
(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
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
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
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
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
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
Exercise 3A; 2, 4, 6, 7, 8, 10, 11, 13
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