When a shrapnel bomb explodes, do the pieces accelerate to begin with or do they start decelerating immediately?
They accelerate first, over a very short period of time, then decelerate slowly due to friction. But I think this analogy is irrelevant because 1. there is no friction in vacuum, 2. gravity between the shrapnel fragments is negligible due to the small mass of the fragments (and the massive mass of Earth.)
The debate over the acceleration/deceleration of the universe has revolved around whether the initial momentum of the Big Bang can overwhelm gravitational forces. If the expansion of the universe overwhelms gravitational forces, we'd expect the universe to have a saddle-shape and expand indefinitely. If gravitational forces overwhelm the expansion, then we'd expect the universe to be spherical, and a Big Crunch would occur. If the two are balanced, the universe would be flat like a sheet of paper.
However, scientific findings suggest that the universe is actually accelerating
faster. This is an even more bleak scenario than the saddle-shaped universe. Why? The answer is unknown.