5. A ball is shot from an air-cannon at an angle of 45° with the horizon. It travels along a path given by the equation h(d)=-1/50d² +d, where h represents the ball's height above the ground and d represents the distance the ball has travelled horizontally. Using your calculator to generate a table of values, graph this function for all values of don the interval 0 ≤ d ≤ 50. Make a proper scale on your graph.
What is the maximum height that the ball reaches? At what value of d does it reach this height?