(Hint: explain how 2 of the parameters represent the vertex (turning point) co- ordinates for the transformed parabola.) Question 5 Using the knowledge that you have already gained from questions 1 through 4 investigate the following. Ken needs to practise his approach shot to the 15th green as the green is elevated by 2 metres above the normal playing surface and he always ends up with a 4.8 m pine tree between himself and the green. In his experience, when using his eight iron (this is the only club he uses to hit this shot) he can get a maximum height of seven metres and maximum horizontal distance of about 40 metres and the ball takes a path of a parabolic shape. The distance that the ball rolls is inversely proportional to the greatest height that the ball reaches above the green (use constant of proportionality k, = 30).Front edge of green 9 m 4.8 m 2 m 35 m 22 m Distance to the edge of the green = 35 m Pin placement = 9 m from front edge of the green Pin height = 2 m above fairway Length of green = 22 m Find the equation of the path of the ball that would result in the ball being nearest to the hole. You must include in your response the following components: One relevant observation . Two appropriate and relevant assumptions . A minimum of one strength and one limitation of your mathematical model . You also need to provide a minimum of 100 words evaluating your solution which encompasses the observation(s) and assumptions made. You must also provide justification of the reasonableness of your result. (Hint: Look at more than one trajectory of the ball.)