If I pick up a coin and place is 6 inches to the left I've mentally cut the world into three epochs, the prior, the mutation, and the posterior. Thus I feel I mutated it.
If I drop a ball, I can do the same trick and cut the world into the before and after of my releasing the ball, but for the duration of it falling I think of physics just happening. This is smooth, continuous, and not a set of discrete mutations.
The math backs this up as well in the sense that integration is exactly what lets us convert the world of mutation into the world of constant physics (FRP from the "continuous time denotational semantics" perspective of Conal Elliott not the usual way the term is abused).
So to claim that "everyday objects" are beholden to mutation or immutability I think is a game of confusing the map with the terrain.