1. Robert and Matthew won South's recent egg toss contest held during Homecoming week. In their winning toss, Robert gave the egg an underhand toss, releasing it with a velocity of 8.06 m/s at an angle of 30 to the horizontal. To the pleasure of the crowd, Matthew caught the egg at the same height as the toss without even a fracture to its shell. (15 points) a. Calculate the horizontal and vertical components of the initial velocity. b. Calculate the time for the egg to reach the midpoint of the trajectory. c. Calculate the total time the egg is in the air, d. Calculate the horizontal distance which the egg traveled from Robert to Matthew. e. Calculate the height of the egg (relative to the release point) when it was at the peak of its trajectory