Problem: A blue ball is thrown upward with an initial speed of 22.4 m/s, from a height of 0.5 meters above the ground. 2.7 seconds after the blue ball is thrown, a red ball is thrown down with an initial speed of 10.5 m/s from a height of 27.4 meters above the ground. The force of gravity due to the earth results in the balls each has a constant downward acceleration of 9.81 m/s.
Part A: How long after the blue ball is thrown are the two balls in the air at the same height?
Please show all work to solve the above problem.