A periodic height model
8 written marks
A sensor records height \(\displaystyle h(t)=6+4\sin(\frac{\pi t}{8})\) metres, where \(t\) is in seconds and \(0\le t\le24\).
Part a · 2 marks
State the period in seconds and the range of heights on the stated time interval.
Part b · 4 marks
Find every time when the height is 8 metres, giving exact values.
Part c · 2 marks
Find all times in the stated interval when the height is 2 metres.
Complete-answer checking, worked solutions and indicative written criteria.
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