How to find C coordinates on 37 with steps write clearly.

A I Indatod) $4/Math/Ch3/Functions and Graphs/Ex3D/HW13/P.3 37. In the figure, the graph of y =4-(x -1)2 cuts 41. A goalkeeper kicks a soccer ball. The height (h m) the x-axis at A and B. of the ball after t seconds is given by h=30t-5+2. 1=4-(x-1)2 (a) When will the ball attain its maximum height? (b) Find the values of t when the ball reaches half of its maximum height. (Give your answers correct to 3 significant figures.) If C is a point above the x-axis on the curve so that the area of AABC is a maximum, find (a) the coordinates of C, ( b ) the area of AABC