Edexcel Mathematics June 2018 · Paper 2 · Question 8 · ExamRizz

ExamRizzEdexcel MathematicsMathematics

June 2018 · Paper 2 · Question 8 · 7 marks

8. H x O Figure 1 Figure 1 is a graph showing the trajectory of a rugby ball. The height of the ball above the ground, H metres, has been plotted against the horizontal distance, x metres, measured from the point where the ball was kicked. The ball travels in a vertical plane. The ball reaches a maximum height of 12 metres and hits the ground at a point 40 metres from where it was kicked. (a) Find a quadratic equation linking H with x that models this situation. (3) The ball passes over the horizontal bar of a set of rugby posts that is perpendicular to the path of the ball. The bar is 3 metres above the ground. (b) Use your equation to find the greatest horizontal distance of the bar from O. (3) (c) Give one limitation of the model. (1) 21 22 23

Lesson: Laws of Indices