Mhm. Here, we have the scenario, we see that john drives 16 kilometers west at a speed of 90 kilometers per hour shown right here. He then drives eight kilometers south at a speed of 80 kilometers per hour shown here. Finally, he drives 34 kilometers of South east at a speed of 100 kilometers per hour shown here. So if we assuming troubles at a constant velocity during each segment, we ask ourselves what is the change in velocity during the trip And to find that we're going to need to know the final condition and the initial condition. Let's try that out. At this point here, he's driving at 100 kilometers per hour. This is the final condition. At this point we have an X. Component and we have a way component since we know that he was driving directly southeast, we can consider this angle to the 45 degrees. So to find the Acts, which is the adjacent side will say that X is equal to the links, which is 100 kilometers per hour times the co sign of 45 degrees. And we find that why is equal to 100 kilometers per hour times the sine of 45 degrees. It's the opposite side, plugging that into a calculator 100 times the coastline. 45. We find the X. Component to the equal to 70 0.7 kilometers per hour. And likewise we find why to be negative 70.7 kilometers per hour. Why is it negative? Because it's in the minus Y. Direction directed downward. So now that we have the final condition will take a look at the initial conditions at this point, it's moving directly east or west. At this point, we can assume the X. To be equal to 90 kilometers per hour. Why? Because it's directed in the X. Direction. And this is going to be negative since it's in the negative X. Direction and we can assume the Y two B zero because there's no vertical movement, there's no north or south movement here, zero corners per hour. So what is the change in velocity? Well, to do that, we're gonna need to find the change in X. And the change and why? The change in acts is going to be the final, which is 70 0.7 minus the initial, which is negative 90 the change and why it's going to be the final, which is negative 70 27 minus the initial which is your So we find that the change in Y is 160.7 the change in X rather than the change in Y is negative 70 great center. Both of these are kilometers per power. So now that we found the magnitude of the change in X. And the change and why we can use those components to find a total change in velocity. So to do that, we're going to take the square root right of this change in X squared plus this change in y squared. We'll do that the square root of 160.7 squared plus 70.7 squared. We get a value 175 0.6 kilometers per hour. The change in velocity between 0.1 and point to point to is the final condition. 0.1 is the initial condition. This value is our change in velocity during the trip. And so now when we ask ourselves what was the average acceleration during this trip, we already have the change in velocity. Now we need the change in time to do that. We're gonna need to figure out how much time was spent during this trip. So we're gonna have to use each of these different segments to figure out how long it took. Sam let's start with the beginning 16 kilometers at 90 kilometers per hour. If we have a distance and velocity we can divide that distance by the velocity to get time for changing time is equal to that speed that velocity divided by or rather that distance that change in D. Which I'll call distance divided by the speed I'll call s. So for the first one we have a distance of 16 kilometers at 90 kilometers per hour. We get zero 0.1 eight hours. For the next part we have eight kilometers at 80 kilometers per hour. Eight divided by 80 gets us 0.1 hours. And for the third segment we have 34 kilometers at 100 divided or 100 kilometers per hour, which gets us 0.34 hours adding these. All together, we find that the total change in time is equal to 0.62 hours. We have our change in velocity here to find our acceleration, our average acceleration during this trip. We just have to get this change in velocity very, very that's changing time. When we do that 175.6 kilometers per hour, divided by 0.62 hours, we find an acceleration of 284 right three 0.2 rather kilometers per hour. Screen. Thank you.