Bank Robbery

Write a complete solution to the following problem using the GOAL problem-solving protocol.  Carefully consider any assumptions you make in solving the problem, along with an explanation of how the answer would vary under different conditions.  Clearly specify any estimations you make, and be sure your answer will agree with anyone else who correctly analyzes the same problem.

The Raleigh Police Department has hired you as a consultant in a robbery investigation. A suspect allegedly robbed a bank in the First Union Tower downtown. To escape the security guards, the thief took the express elevator to the roof of the Tower. Then, to avoid being caught with the evidence, the thief allegedly threw the 30-pound bag of money to a waiting accomplice on the roof of an office building across the street. You determine that the First Union Tower is 150 feet high, and the office building is 100 feet high and its base is 50 feet from the Tower. The defense attorney contends that if this scenario is true, the defendant must have thrown the money bag at least 20 miles per hour.  In a test, the farthest the defendant could throw the bag while standing still was 10 feet. How will you advise the prosecuting attorney?