Year 12 Mathematics B, Periodic Functions & Applications
“Tide’s out!”
Table of Contents 1.0 Water-‐depth data ..................................................................................................... 3 2.0 Graph of water depth against time .................................................................... 3 Water Depth vs. Time ............................................................................................................................. 3
3.0 Developing a function ............................................................................................ 4 3.1 3.2 3.3 3.4 3.5
Linear Function ................................................................................................................ 4 Quadratic function .......................................................................................................... 5 Cubic function ................................................................................................................... 6 Sinusoidal function ......................................................................................................... 7 Comparison ........................................................................................................................ 8
4.0 Using the function .................................................................................................... 9 4.1 Test 1 .................................................................................................................................... 9 4.2 Test 2 .................................................................................................................................... 9 4.3 Test 3 ................................................................................................................................. 10
5.0 Assumptions and Validity .................................................................................. 11 5.1 Assumptions vs. Effects .................................................................................................. 11 5.2 Validity ................................................................................................................................. 11
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Year 12 Mathematics B, Periodic Functions & Applications
“Tide’s out!”
1.0 Water-‐depth data
The table below contains tide data from Portland (Victoria) on the 1st of January 2014.
Table 1: Data of tidal movement from 12am -‐ 7am.
