A ball is shot from an air-cannon at an angle of 45 with the horizon. It travels along a path given by the 1 h(d)=-=d²+d 50

Question

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

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