"You are designing an elevator for a hospital. The force exerted on a passenger by the floor of the elevator is not to exceed 1.6 times the passenger's weight. The elevator accelerates upward with constant acceleration for a distance of 3m and then slows down. What is the maximum speed of the elevator?" The answer in the back of the book is 5.9 m/s. When I drew a FBD and solved for acceleration I came up with 5.9 though. I made my equation 1.6mg - mg = ma. Then I cancelled m out of everything and got a to be 5.9 m/s^2 what did I do wrong? Obviously this cannot be the acceleration if the max speed is this.