You are on the roof of a Physics Building, 33 m above the ground. Your physics professor, who is 1.87 m tall, is approaching the building at constant speed of 1.63 m/s. If you wish to drop an egg on his head, how far should your professor be when you release the egg?

how long does it take to fall 33m?

4.9t^2 = 33
now, since the professor's speed is constant,
distance = speed * time (see t above)