Analysis and Approaches for IBDP Maths Ebook 1 | Page 112

Your Practice Set – Analysis and Approaches for IBDP Mathematics
4. The height of a seat on a Ferris wheel in metres is modelled by the function
h( t) � pcos( qt)
� r , where t is the number of minutes after 12:45.
The seat starts at the lowest point and its height is 3 metres above the ground. The
diameter of the wheel is 70 metres and the first time the seat is 73 metres above the
ground is 12:58.
(a)
Find the value of
(i) p ;
(ii) q ;
(iii) r .
(b) Find the height of the seat above the ground at 13:41.
(c) Find the time for the seat to be 10 metres above the ground for the sixth time.
[7]
[2]
[4]
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