Edexcel Mathematics Specimen paper · Paper 1 · Question 6 · ExamRizz

ExamRizzEdexcel MathematicsMathematics

Specimen paper · Paper 1 · Question 6 · 6 marks

6. y C 5 m 6 m A O Figure 2 Figure 3 Figure 2 shows the entrance to a road tunnel. The maximum height of the tunnel is measured as 5 metres and the width of the base of the tunnel is measured as 6 metres. Figure 3 shows a quadratic curve BCA used to model this entrance. The points A, O, B and C are assumed to lie in the same vertical plane and the ground AOB is assumed to be horizontal. (a) Find an equation for curve BCA. A coach has height 4.1 m and width 2.4 m. coach can pass through the tunnel. (b) Determine whether or not it is possible for the coach to enter the tunnel (c) Suggest a reason why this model may not be suitable to determine whether or not the coach can pass through the tunnel.

Lesson: Laws of Indices