Year 12 Physics Curve Straightening Exercise 1
Question 1
a)
y
If y = 3x2 , complete lines b - d of the following table.
50
45
a
x
b
log x
c
y
d
log y
0
n/a
1
2
3
4
40
35
30
n/a
25
20
b)
Using the table above, plot the 3 graphs as indicated.
c)
Draw a line of best fit through the linear graph
d)
Determine the y intercept & gradient of the linear graph.
e)
Analysis:
15
10
5
0
x
0
Log y
1
2
3
4
Log y
1.8
1.8
1.6
1.6
1.4
1.4
1.2
1.2
1
1
0.8
0.8
0.6
0.6
0.4
0.4
0.2
0.2
0
0
0
0.2
0.4
0.6
0.8
x
0
1
2
3
4
Log x
Question 2
a)
If y = 2 . (3x) , complete lines b - d for the following table.
y
180
a
x
b
log x
c
y
d
log y
0
n/a
1
2
3
4
160
140
120
100
80
b)
Using the table above, plot the 3 graphs as indicated.
c)
Draw a line of best fit through the linear graph
d)
Determine the y intercept & gradient of the linear graph.
e)
Analysis:
60
40
20
0
2
2
1.5
1.5
1
1
0.5
0.5
0
Year 12 Physics
1
2
3
0.2
0.4
0.6
4
log y
2.5
log y
2.5
x
0
x
0
1
2
3
4
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0
0
0.8
log x
Graph Straightening
Question 3
a)
If Ошибка!, complete the table on the right.
b)
Using your own graph paper, plot three
graphs similar to those in questions 1 & 2 .
c)
Draw a line of best fit through the linear
graph.
d)
Determine the y intercept & gradient of this
graph.
m=
0.1
0.5
3
10
30
0
1
2
3
4
x
0
1
2
3
4
log x
y
3
48
192
768
x
log x
y
logy
e)
Analysis:
c=
Question 4
x
a)
If y = 4 . (0.6x) , complete the table on the
right.
log x
b)
Using your own graph paper, plot three
graphs similar to those in questions 1 & 2 .
logy
c)
Draw a line of best fit through the linear
graph.
d)
Determine the y intercept & gradient of this
graph.
m=
e)
e)
Hence analyse the data to obtain the relationship between
the two variables.
c=
a)
Complete the table on the right.
b)
Using your own graph paper, plot three
appropriate graphs.
d)
12
logy
Question 6
c)
Analysis:
c=
Question 5
a)
Complete the table on the right.
b)
Using your own graph paper, plot three
appropriate graphs.
c)
Draw a line of best fit through the most
linear graph.
Determine if the relationship is linear,
power or exponential.
d)
Determine the y intercept & gradient of the
most linear graph.
m=
y
x
1
2
3
4
log x
y
0.62
0.78
0.89
0.98
5
1.06
logy
Draw a line of best fit through the most linear
e)
graph.
Determine if the relationship is linear, power
or exponential.
Hence analyse the data to obtain the relationship between
the two variables.
Determine the y intercept & gradient of the
most linear graph.
m=
Year 12 Physics
c=
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Graph Straightening