Now look at the data for the A$.$ donax plant. In those measurements, for times after the time when the plant first returns to the upright position $($i$.$e$.,$ the first time at which its displacement is zero$),$ its displacement can be well described by a function of the form $.$ Here, f$($t$)$ is the displacement of the plant stem as a function of time, A$0$ is the maximum amplitude $($i$.$e$.,$ the maximum value of the displacement$),$ T is the period of the oscillation, and is the phase factor that tells you the value of the displacement at time t $=0,$ i$.$e$.,$ f$(0).$ The constant is known as the damping constant and it tells how quickly the maximum displacement decreases, i$.$e$.$ how rapidly the kinetic$+$potential energy decreases as the plant oscillates. $7.$ What is the value of the period T of the oscillation for the plant with leaves? Answer the same question for the plant without leaves. $($Hint: this is easiest to determine by looking at times for which the displacement is zero.$)$