FIGURE P1.58 shows a motion diagram of a car traveling down a street. The camera took one frame every 10 s. A distance scale is provided.

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b. Make a position-versus-time graph for the car. Because you have data only at certain instants of time, your graph should consist of dots that are not connected together.

Video transcript

Welcome back. Everyone. In this problem. A surveillance camera captures images of a bicycle moving along a path at intervals of 15 seconds. A distance scale is provided in the footage with the velocity of the bicycle, construct a position versus time graph for the bicycle using the data from the surveillance footage. Here we have a screenshot showing our snapshots from the surveillance footage. And in our answer choices, we have our graphs of our position versus time graphs. OK? And we're supposed to figure out which one of these is correct. Now, what do we know here that can help us to plot the graph? Well, let's focus a bit on our surveillance footage. Now we take the bicycle as a point particle since we only have data for particular instances of time that is wherever we see our arrows end. OK, then our graph would only consist of discrete dots. We know these snapshots taken every 15 seconds. So in other words, what it is telling us is that in the 1st 15 seconds, it's 50 m, next 15 seconds. It at, it's at 100 50 m. The next one, it's at 350 m. And so on. So we'll need to plot these on our position versus time graph. We have a graph here that I'm just going to copy and paste just to blow it up so that it's a bit bigger. OK. Just to make it easier for us to draw on our graph. OK. And no, for our graph, let's put in our intervals here. So for our position versus time graph, we have our position on the vertical axis or time on the horizontal axis. And on the horizontal axis, we are going to go up by increments of 15. So every two units is 15 seconds. So that's 15. Let me correct this here. It's gonna be 30 45 6075 and 90. And on our vertical axis, we're going to do 100 m every two intervals. So that's 100 200. OK. 304 100 506 100. Ok. No, let's start to plot our snapshots. And I'm going to do that in red. Now notice here at 15 seconds, the position is halfway between zero and 100 m. So 15 seconds, the position is at 50 m. So let me use that dot Next notice that at 150 m, we have our next snapshot. So in the next 15 seconds, it's at 150 ok. In the next 15 seconds, that is at 45 seconds, the position is 350 m. So that one is gonna be here then at 60 seconds when we get to the next 15 seconds, no, it's at 500 m. Ok. So 60 is going to correspond to 500 next in the next 15 seconds. It's halfway between 506 100. So at 75 seconds, it's at 550 finally at 90 seconds, it's at 600 m. Thus, this would be the position versus time graph for the bicycle based on the data from the surveillance footage. Now, when we compare or graph, OK. To our answer choices, you probably note that it represents or answer choice. B therefore, B is the correct answer. Thanks a lot for watching everyone. I hope this video helped.