B1 [9 pts]. A doorway baby bouncer is a device used to both contain and amuse babies and toddlers, as shown in the photo. The system may be (crudely) modeled as a mass oscillating on a springy cord undergoing damped simple harmonic motion. The graph below plots data that show the vertical displacement from equilibrium position as a function of time for a baby in such a device. Assume that the data are described by the function A(t) = A ? t/T A cos(wt + $ 0). 0.6 0.4 0.2 displacement (m) 0 AAAAA Image from http://www.babycareplus.co.uk/ -0.4 -0.6 0 1 2 3 4 5 6 7 8 9 10 time (s) Part a) [3 pts] Determine the amplitude Ap, the angular frequency w, and the phase constant @ for the motion. Part b) [3 pts] Calculate the amplitude damping constant TA for the motion. Part c) [3 pts] Calculate the fraction of the initial energy remaining after 5 oscillations