In the past, professional baseball was played at the Astrodome in Houston, Texas. The Astrodome has a maximum height of 63.4 m. The height in meters of a baseball t seconds after it is hit straight up in the air with a velocity of 45 m/s is given by h= -9.8^2 + 45t + 1. Will a baseball hit straight up with this velocity hit the roof of the Astrodome? Find the value and use it to determine the answer. Discriminant: Will the baseball hit the roof? Why?:

Please show all work and not just the answers.