Question

In the 2018 short film For the Birds, there are some small birds on a wire who are fed up with a larger bird who is also on the wire. At its greatest stretch, the center of the wire is displaced by about 7.3 ? from equilibrium. When the large bird involuntarily lets go of the wire, the wire rebounds like a spring would. After a time of 0.54 ???, the wire has returned to its lowest point again (meaning this is the period of oscillation).

1. If the small birds are launched into the air when the wire first returns to its equilibrium position, find the speed at which they are launched.

2. If one of these birds had managed to hold on to the wire throughout its motion (meaning it is not launched, but just holds on), find the maximum acceleration the bird would experience.

Answer 1

Also, Where is the mean displacement from the equilibrium position, and gives the acceleration. Plugging in we get This is also the maxumum acceleration that the bird would experience.

To find the velocity, Note: Here represents a single and double derivative with respect to time.