Edexcel Mathematics June 2022 · Paper 2 · Question 9 · ExamRizz

ExamRizzEdexcel MathematicsMathematics

June 2022 · Paper 2 · Question 9 · 5 marks

9. H O tH Figure 4 Figure 5 Figure 4 shows a sketch of a Ferris wheel. The height above the ground, H m, of a passenger on the Ferris wheel, t seconds after the wheel starts turning, is modelled by the equation H = ½A sin(bt + α)° ½ where A, b and α are constants. Figure 5 shows a sketch of the graph of H against t, for one revolution of the wheel. Given that • the maximum height of the passenger above the ground is 50 m • the passenger is 1 m above the ground when the wheel starts turning • the wheel takes 720 seconds to complete one revolution (a) find a complete equation for the model, giving the exact value of A, the exact value of b and the value of α to 3 significant figures. (4) (b) Explain why an equation of the form H = ½A sin(bt + α)° ½ + d where d is a positive constant, would be a more appropriate model. (1) 23

Lesson: Definitions of Sine, Cosine and Tangent and Exact Values