# What is going on at point A of this velocity-time graph of a bouncing ball?

I was wondering what the ball is doing physically at point A -- is it as soon as the ball hits the floor? If so, what about the section of the graph after point A? Is the ball just coming to a rest?

• I cannot reconcile that drawing with the position, velocity, or acceleration of a bouncing ball. Do you have more detail of how you came by it? Dec 3 '19 at 0:32

It may be a velocity-time graph, but if so, it doesn't represent anything like a bouncing ball. So describing what is happening at some point may be difficult.

Under the influence of gravity alone, all objects near the earth's surface have a near-constant acceleration. On a velocity-time graph, a constant acceleration would be a constant slope. So a bouncing ball would show most areas with a similar slope, and a few discontinuities from the bounces (which are periods of very high acceleration).

But your graph shows some areas where the slope is positive, and some areas where the slope is negative. That's not how bouncing balls behave.

At point A, there is no large acceleration as would be seen during a bounce. Instead it's like gravity has suddenly reversed.

It's hard to say for sure, since it's not clear what assumptions have gone into the creation of the graph. I would expect the upward slopes to be quite steep as the ball very rapidly changes from travelling towards the floor (negative velocity) to travelling away from the floor (positive velocity).

If we assume a fairly idealized system (no energy lost on each bounce and practically instantaneous bounces) you might see something like this:

As you can see, any point where the velocity jumps from negative to positive is where the ball bounces off the ground. If the ball is losing energy on each bounce, the yellow line should show similar slopes, but the amplitude would decrease on each bounce. You can also see that the acceleration during the bounces should be extremely high, so your graph showing essentially equal slopes is a bit strange.