<p>The depth of water , \(h\) metres, in a shallow port on a particular day is modelled by the formula \(h=7+2\sin(\frac{\pi}{6}t)\), where&nbsp;\(t\) is the number of hours after midnight.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">State the period of \(h\).<span class="inline-marks">[1]</span></div></li><li><div class="list-item-paragraph">Use the model to predict the time when the depth of water is at its lowest.<span class="inline-marks">[2]</span></div></li><li><div class="list-item-paragraph">A supply boat docks at the port at \(5.30 \) am and it takes the workers 3 hours to unload its cargo immediately after its docks. To leave the port safely , the supply boat requires the depth of water to be at least \(5.6\) metres.</div><div class="list-item-paragraph">Determine the earliest time, to the nearest minute, that the supply boat can leave the port.<span class="inline-marks">[4]</span></div></li></ol>

The depth of water , \(h\) metres, in a shallow port on a particular day is modelled by the formula \(h=7+2\sin(\frac{\pi}{6}t)\), where \(t\) is the number of hours after midnight.

Use the model to predict the time when the depth of water is at its lowest.

A supply boat docks at the port at \(5.30 \) am and it takes the workers 3 hours to unload its cargo immediately after its docks. To leave the port safely , the supply boat requires the depth of water to be at least \(5.6\) metres.

Determine the earliest time, to the nearest minute, that the supply boat can leave the port.

2025 CHS PRELIMS P2 Q5

2025 CHS PRELIMS P2 Q5