The science club at Jefferson High School is performing an experiment. They want to see if they can design a case that will prevent an egg from breaking when it is dropped from the
roof of the school. The egg, safe in its case, is tossed into the air with an initial velocity of 5
meters per second from a height of 8 meters. The equation h(t) = -4.9t? + 5t + 8 models
the height of the egg in meters after t seconds.
About how many seconds does it take for the egg to hit the ground?