Paul spun the wheel of his bicycle. The following values show the height above the ground of a point on the wheel at various times.
Time (s)
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2
Height above ground (cm)
0
6
23
42
57
64
59
43
23
7
1
Time (s)
2.2
2.4
2.6
2.8
3
3.2
3.4
3.6
3.8
4
Height above ground (cm)
5
27
40
55
63
60
44
24
9
3
(1) Plot the graph of height against time.
(2) Is it reasonable to fit a curve to this data, or should we leave it as discrete points?
(3) Is the data periodic? If so, estimate:
- the equation of the principal axis
- the maximum value
- the period
- the amplitude.