Final answer:
The type of function that describes the amplitude of damped oscillatory motion is exponential.
Step-by-step explanation:
The type of function that describes the amplitude of damped oscillatory motion is exponential.
When a system undergoes damped oscillatory motion, the amplitude of the oscillation decreases over time due to the dissipative forces acting on it. This decay in amplitude can be modeled by an exponential function.
For example, the equation A(t) = A0 imes e^(−ct) represents the amplitude A(t) of a damped oscillator at time t, where A0 is the initial amplitude and c is a positive constant related to the damping coefficient.