Question

Some passengers on an ocean cruise may suffer from motion sickness as the ship rocks back and forth on the waves. At one position on the ship, passengers experience a vertical motion of amplitude 1.5 m with a period of 18 s.

What is the maximum acceleration of the passengers during this motion?

Answer 1

The maximum acceleration of the passengers during this motion is 0.296 m/s^2.

Step-by-step explanation:

The maximum acceleration of the passengers in this case can be determined using the formula for simple harmonic motion:

a_max = (2π/T)^2 * A

Where a_max is the maximum acceleration, T is the period of motion, and A is the amplitude of motion.

Plugging in the values given, we have: a_max = (2π/18)^2 * 1.5 = 0.296 m/s^2.