Problems 49, 50, 51, and 52 show a partial motion diagram. For each: c. Draw a pictorial representation for your problem.

Video transcript

Welcome back, everyone. We are taking a look at this collection of velocity vectors right here and we are tasked with coming up with a pictorial representation of this motion. Let's look at our answer choices that we have for answer choice. A as you can see before diving into the answer choices we have in all of these scenarios, a car moving to the right. It's just a matter of acceleration vectors. Answer choice A we have that the car has a negative acceleration, then it stops, then it has a positive acceleration in answer choice B we just have a constant positive acceleration. Answer choice C we have a constant negative acceleration. Answer choice D we go from a positive acceleration then hit a speed breaker and then it goes to a negative acceleration here. So scrolling back up here, let's take a look at our velocity vectors that we have right here. If you'll notice from this point to this point right here, we have the individual intervals of the velocity vectors getting smaller and smaller and smaller until it reaches this point right here. Now, remember velocity or rather acceleration is just change in velocity with respect to time. So if our velocity vectors are getting smaller and smaller, this means during this first half of our motion here, we are going to have a negative acceleration from this point on that I've drawn out, as you can see in the second half, our individual intervals get bigger and bigger and bigger. What this means is that velocity is growing with respect to time. It means it will have a positive acceleration here. Let me scroll up just a little bit, it'll have a positive acceleration in the second half. So what we are looking for then just to draw this out to the side here is we are looking for a negative acceleration, then a break and then a positive acceleration. Let me go ahead and dr uh drag this down here and we'll once again, take a look at our answer choices to see if anything matches. And the one that matches most evidently is going to be answer choice a right here. As you can see, we have our negative acceleration and then our positive acceleration. Thank you all so much for watching. I hope this video helped. We will see you all in the next one.