Question 2 10 marks This question is based on your work an MU123 up to and including Unit 10. Jason's father helped him to build a miniature catapult for a history project. To demonstrate how this type of weapon was used in history, Jason releases a water bomb (a small bag of water) 'om the catapult. The trajectory of the water bomb after it is released from the catapult can be modelled by a quadratic equation of the form 3; = m2 + has + c where y represents the height (in metres) of the water bomb above the ground, and :1: represents the horizontal distance (in metres) of the water bomb from the position where it leaves the catapult. You may assume that the surface of the ground is horizontal, and that the water bomb is not aected by wind. (a) The quadratic equation produced to model the trajectory of a water bomb is y = 4.06222 +1.31a: + 1.38 In this part of the question, you are asked to consider the graph modelled by this quadratic equation. (i) What does the yintercept represent in the context of this model? (ii) Use the quadratic formula to nd the :r-intercepts. Give your answers correct to two decimal places. (b) In a test, J ason's father stands 25m away horizontally from where the water bomb is released. Explain why the water bomb can't possibly hit him. (c) In another test, J ason's father, who is 1.8m tall, moves to a position directly in the path of the water bomb, at a distance of 21m horizontally from where the water bomb is released. Will the water bomb pass over him? Explain your answer. [4] [2]