A certain elevator cab in a New York hotel has a total run of 178 m. Its maximum speed is 251 m/min. Its acceleration (both speeding up and slowing...

A certain elevator cab in a New York hotel has a total run of 178 m. Its maximum speed is 251 m/min. Its acceleration (both speeding up and slowing down) has a magnitude of 1.14 m/s2. How long does it take to make the nonstop 178 m run, starting and ending at rest?