A man jumped upward and outward from a window of a blimp and landed in a body of water. His jump was 120 m, about the height of a 40-storey building. The path of his jump can be represented by the quadratic relationship \(\displaystyle h=120+5.5t-4.9t^2\), where h is the height above the water in metres and t is the time in seconds.

a) Find the maximum height of his dive.

(I thought here you would use the vertex formula... this textbook doesn't have the answer in the back of course...)

b) Find the length of time it took him to reach the water.

Any help would be appreciated!