A cork floating on the surface of still water moves up and down as ripples pass by. Its vertical displacement from the mean water level was recorded every 0.02s, as shown in the table.
Time t(s)
0.00
0.02
0.04
0.06
0.08
0.10
0.12
0.14
Displacement y(cm)
0
3
0
−3
0
3
0
−3
Use the data to answer the following.
a. (i) Plot a neat displacement–time graph of the motion of the cork, choosing suitable scales.
b. (ii) From your graph, determine the time period T of the ripples.
c. (iii) Calculate the frequency f of the ripples.
d. (iv) State the amplitude of the motion of the cork.