Curve Straightening Worksheet
1.
Date: _____________
Plot each of the following sets of data on a graph. Using a suitable curve-straightening technique, determine an
equation (include the value of the slope and the units for the slope) that represents the data. In addition, for questions
b, c, d, and f find the meaning of the slope.
a.
b.
c.
x
y
mass (kg)
1
2
3
4
5
6
7
8
9
1
4
9
16
25
36
49
64
81
2.0
4.0
6.0
8.0
10.0
12.0
14.0
16.0
18.0
acceleration (m/s2)
48.0
26.2
20.0
11.3
10.0
7.5
7.2
6.1
5.6
time (s)
position (m)
0.0
1.0
2.0
3.0
4.0
5.0
6.0
7.0
8.0
10
22
32
40
45
62
73
81
90
d.
spring constant
(N/m)
1.0
2.0
3.0
4.0
5.0
6.0
7.0
8.0
9.0
10.0
e.
displacement
(m)
1.00
0.50
0.33
0.25
0.20
0.16
0.14
0.13
0.11
0.10
f.
p
q
speed (m/s)
kinetic energy
(J)
10
9
8
7
6
5
4
3
2
1
1
2
3
4
5
6
7
8
9
10
5
11
16
19
25
29
36
40
250
1000
22500
40000
62500
90000
122500
160000