You are designing an elevator for a hospital. The force exerted on a passenger by the floor of the elevator is not to exceed 1.60 times the passenger's weight. The elevator accelerates upwards with constant accelerates upwards with constant acceleration for a distance of 3.0 m and then starts to slow down. What is the maximum speed (in `ms^(-1)`) of the elevator?

Explanation

To solve the problem of finding the maximum speed of the elevator, we can follow these steps:

### Step 1: Understand the Forces Acting on the Passenger
The forces acting on the passenger in the elevator are:
- The gravitational force (weight) acting downwards, which is \( mg \).
- The normal force (N) exerted by the floor of the elevator acting upwards.

According to the problem, the normal force should not exceed \( 1.60 \times mg \).
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