Date | May 2021 | Marks available | 5 | Reference code | 21M.2.SL.TZ1.4 |
Level | Standard Level | Paper | Paper 2 | Time zone | Time zone 1 |
Command term | Find | Question number | 4 | Adapted from | N/A |
Question
A Ferris wheel with diameter 110 metres rotates at a constant speed. The lowest point on the wheel is 10 metres above the ground, as shown on the following diagram. P is a point on the wheel. The wheel starts moving with P at the lowest point and completes one revolution in 20 minutes.
The height, h metres, of P above the ground after t minutes is given by h(t)=a cos(bt)+c, where a, .
Find the values of , and .
Markscheme
amplitude is (A1)
A1
A1
OR (M1)
A1
[5 marks]
Examiners report
[N/A]