You're an engineer in charge of designing new generation of elevators for prospective upgrade to the Empire State Building. Before the state legislature votes upon funding for the project, they would like you to make a report on the benefits of upgrading the elevators. One of the numbers that they've requested is the time it will take the elevator to go from the ground floor to the 102nd floor observatory. They are unlikely to approve project unless the new elevators make the trip much faster than the old elevators. If state law mandates that elevators can't accelerate at greater than 4.20 m/s2 or travel faster than 17.8 m/s, Determine the minimum time in which an elevator can travel the 373 m from the ground floor to the observatory floor?