Question

The Roadrunner is on top of a cliff 800 meters above the ground. Wiley Coyote is 42 meters above the ground on a ledge directly below the Roadrunner. Wiley has purchased a spring catapult with the strength of 117 meters per second to propel him upward in order to catch the Roadrunner. The equation relating the height h of Wiley above the ground t seconds after he releases the catapult is given by h(t)=-4.9t^2+117t+42. How would you sketch a graph of this. Also how would you know the highest point Wiley would reach and how many second it would take him to reach his highest point.