We're told that this graph here with presents the position, velocity and acceleration of somebody and we want to determine witchcraft is which and the reason for our answers. So let's just first make some observations about each of the grafts that we have here, so, eh, well, a is always increasing, so that means the derivative of a so a prime is always going to be bigger than zero, and they got a problem. A problem of tea is always bigger than zero. And we also know that a is first less than zero A is less than zero, then A T is bigger than zero at some point right here. And so we want to look at the slope or the derivative as well as our values for it because remember the values of it. If these are derivatives, move, then tell us whether the function is increasing or decreasing. So we're just going to write all these out for each of them and between all of us we should be able to piece together, which is the position, velocity and acceleration Now for B. Well, the derivative of B is going to be negative until we hit this minimum here. So first a prime are not a bunch of B prime. Be prime of tea is going to be less than zero, then be prime of T bigger than zero. Since then, it's increasing after our minimum, and we also have that Bea is always less than zero. So be a team is always less than zero. And then lastly, seeing so seeing derivative is always going to be negative since it's always decreasing. So see, prime of tea is always less than zero, and also see of tea is always less than zero. No, Well, from looking at what we have here, we should be able to conclude that see is our position and it's going to be our position for the following reason. So if seeing was the derivative of Air B, this here means always increasing for original for if I should say for an tiger and we haven't talked about that, we're getting but for always decreasing for the original. Since remember, this should be the derivative of some function as a don't, and neither of these functions are always decreasing. So so this is a S a p sense, no function, always increasing. And from this now we can figure out what is going to be our velocity and acceleration. Now, from this, we can conclude that B is going to be our velocity. So this is a beauty. And we know this sense be of tea is always less than zero. So if this is the derivative we have, that C prime of tea is always listen zero and then that would mean be he would always also be less than zero. So those two matchup and then that would mean that a is going to be our acceleration. So is going to be acceleration since, well, this here is talking about the derivative part. And this here also talks about its derivative. So these two match up, and between those we can conclude that is our acceleration.