You have entered an egg drop contest on Campus. Your designed container will protect the egg from breaking if it hits the ground going no faster than speed v. a. Using a conservation of energy framework, calculate the height h from which you can safely drop the egg without having it break upon impact as a function of v and the acceleration of gravity. Once you determined the acceptable height given your design, your partner climbs up the ladder for the contest, but rather than dropping the egg from your calculated height h they toss the egg directly up into the air at a speed of b. Using the framework of kinematics with constant acceleration, calculate the speed at which the egg will hit the ground under the conditions outlined in part \"b\" above. Do you expect the egg to break