Edexcel Mathematics June 2024 · Paper 2 · Question 9 · ExamRizz

ExamRizzEdexcel MathematicsMathematics

June 2024 · Paper 2 · Question 9 · 7 marks

9. OB(20, 0.8)A(0, 2)H (m) x (m) Figur e 3 The graph in Figure 3 shows the path of a small ball. The ball travels in a vertical plane above horizontal ground. The ball is thrown from the point represented by A and caught at the point represented by B. The height, H metres, of the ball above the ground has been plotted against the horizontal distance, x metres, measured from the point where the ball was thrown. With respect to a fixed origin O, the point A has coordinates (0, 2) and the point B has coordinates (20, 0.8), as shown in Figure 3. The ball reaches its maximum height when x = 9 A quadrat ic function, linking H with x, is used to model the path of the ball. (a) Find H in terms of x. (4) (b) Give one limitation of the model. (1) Chandra is standing directly under the path of the ball at a point 16 m horizontally from O . Chandra can catch the ball if the ball is less than 2.5 m above the ground. (c) Use the model to determine if Chandra can catch the ball. (2) 23

Lesson: Laws of Indices