Problem 5. Superman launches himself into the sky to fly to the top of a tall building of height H to rescue Lois Lane. Using he Kryptonian powers, he accelerates upward with an accelera- tion of g/3. After a time t he has reached the height H/2. In an additional time t2, he reaches the top of the building (so he reaches its top in a total time t = t +t) and comes "instantly" to rest. a) What is the height of the building in terms of the time t2? b) Lois turns out not to be there, so he jumps back to the ground. How long t3 does it take for him to reach the ground falling freely from the top? c) If t2 = 2 seconds, what is H in meters and t3 in seconds. Use g 10 meters/second, and be careful about significant figures!