Jane is playing a game of Knock-off-the-Milk-Bottle at the funfair. She will receive a prize if she knocks over the milk bottle located 2.5 metres away from her. The parametric motion of the ball (in the vertical plane) is given as follows: x= 6t, y=-5t^2+0.6t+a, where (x, y) describes the position of the ball at time t with reference to where she stands (taken to be the origin O), and a is the initial height of the ball when Jane releases it. (i)Sketch the path of the ball, giving the coordinates of the y-intercept. (i) Given that the height of the bottle is 0. 15 metres, using the above parametric equations with a =1.2, determine if Jane will be able to knock over the bottle. (Assume that the bottle will fall if the ball hits the top of the bottle.) (iii)Find the height she should release the ball if she wants to knock down the bottle. This is the original Qn