<p>Consider a swimmer in the \(200\) m butterfly event. The time is taken at every \(50\) m completed for the length of the pool. We can neatly plot these data points on a graph of <strong>Distance Swum (m)</strong> against <strong>Time (s)</strong>.</p>
<div class="content-block content-block--table"><div class="table-container"><table style="table-layout: fixed; width: 250px;"><colgroup><col style="width: 50px;"><col style="width: 100px;"><col style="width: 100px;"></colgroup><thead><tr style="height: 23px;"><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>Lap</p></th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>Distance (m)</p></th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>Cumulative <br>Time (s)</p></th></tr></thead><tbody><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>1</p></td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>50<br></p></td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>29.8<br></p></td></tr><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>2</p></td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>100<br></p></td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>61.3<br></p></td></tr><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>3</p></td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>150<br></p></td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>96.0<br></p></td></tr><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>4</p></td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>200<br></p></td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>129.8<br></p></td></tr></tbody></table></div></div>
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Consider a swimmer in the \(200\) m butterfly event. The time is taken at every \(50\) m completed for the length of the pool. We can neatly plot these data points on a graph of **Distance Swum (m)** against **Time (s)**.

Applications of Trigonometry

International Baccalaureate Standard Level Mathematics

Average Rate of Change

Average Rate of Change