Wile E. Coyote is so desperate to catch the Roadrunner that he built himself a catapult to use on those darn vertical cliffs he is always running into. He figures he will need it to shoot him $500$ meters straight up. How fast must the catapult propel him upwards to reach that height? (Use $−5$ m/sec^{$^{2}$} for the acceleration due to gravity. As you know, Cartoonland has a different gravitational constant, allowing cartoon characters to fall from great heights without being injured. Do not try this at home.)