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SummaryComplete each set of graphs from thegivenbriefly describe how to obtain the listed quantity ftom the given graph: In the chart; very sufficient answer for on...

Question

SummaryComplete each set of graphs from thegivenbriefly describe how to obtain the listed quantity ftom the given graph: In the chart; very sufficient answer for one Or more of thesel For example_ "'the slope TechniqueVelocity-Time GraphAcceleration-Time GraphPosition-Time GraphQuantitypositiondisplacementinst. velocityavg; velocity change in velocityaccelerationCKAFHS

Summary Complete each set of graphs from the given briefly describe how to obtain the listed quantity ftom the given graph: In the chart; very sufficient answer for one Or more of thesel For example_ "'the slope Technique Velocity-Time Graph Acceleration-Time Graph Position-Time Graph Quantity position displacement inst. velocity avg; velocity change in velocity acceleration CKAFHS



Answers

The following graphs each relate distance and time for a moving object. Determine the velocity in each case. CAN'T COPY THE GRAPH

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.

So the relationship off the position as velocity and acceleration A Are we equals the number deity or equals developer DT equals the number this words a subverted t squared. You ask it if the body moving according the lines, A function of time which top each since Malachi Jackson or position for gathers is the position where that probably should be. C because a slope of the democracy is negative in all points. So we have now derivative of theirs ability that IHS less than here are maliciously instance in the grip of which shows darks is group B. So grab beast a group of velocity. The Group C is that would be the acceleration, but they're more seem must be the group of position because not derivative matter off the to for letter B that it's Milosovici. It has be a negative values for slope Ohh. So the position to see the velocity a say and acceleration is B then more ever your grandpa would be. The crop of position is because the slope are positive with open. So we have Yes, somebody is greater than zero. Therefore, velocities better than you know, but the grab BNC are not about the acceptance for all battle. So Opti So the group off it's not a drop of the position is with the drop off we would be the drop off opposition ISS would have Yes, somebody this less than zero or peace ISS element of zero to t one and the s somebody is greater than 0 40 is greater than 200 for velocities less than 0 40. Element of civility one and velocities greater zero for Theis. Greater than the one that rap velocity would be grabbed A on the popular city would be grabbed me and the cramp is the position of mhm.

Question before he talks about uh to name the different types of crafts which we can use to represent the motion of the body. So the first and foremost most common ground, which we use as the distance versus strange. So usually the distances brought it on the y axis and the time has brought it on the X axis. And this craft helps us to find the speed of an object. So uh if that's a straight line definitely it means that the speed is constant. But the at any any point, if that's not a straight line than the slope at any particular time, at any particular time, that will actually give us the speed at that particular point. So that is the first cross. The second graf could be a displacement was a strain so that we have displacement or on the Y. Axis and time over on the X axis. And likewise, this is used uh to find us to find the velocity. And uh in this case it was used to find the speed and in this case it is used to find the velocity uh with which I thought it was traveling and last but not the least would be the speed was a strain graph. So if we have the speed over here and time is over here, then the speed was sustained graph actually gives us an idea about the total distance which in the object has traveled. So the total distance would actually be the area, area under the skull, area under the skull. That would be considered as the total distance which the object has traveled. So these are the typical three kinds of graphs, which we can use to represent the motion of the body. Thank you.

So given a graph of velocity versus time, and you're asked to sketch a graph of acceleration versus time. So you got five different segments with the numbers that are given in the graph to calculate the acceleration. Um, the slope of each segment is the acceleration during that time period. So you calculate acceleration by doing change in V over changing T for the first segment, I'm going to use to coordinates the first one being 00 on the second one being 26. And so a is going to be six minus zero. Yeah, over 20 minus zero on when you saw that. Okay, get 0.3 okay, meters per second squared. That's the first segment on the graph that's given for the next one you got coordinate 26 20 comments. Six and that one. Is it 50 comment to So a is going to be changing y tu minus six over 50 minus 20 or negative 4/30. So that and you get negative 1.33 meters per second squared. This one appears to also be seen meters per second squared because doing it acceleration for C first coordinate 50 Comment to second coordinate would be 70 comma two, hopefully can see from the graph. That's the horizontal line. It's gonna be zero to minus 2/70 minus 50. Get 0 m per second squared. So is moving with a constant velocity during that segment. 70 comma two and 90 comma four. The next one So a is equal to four minus 2/90 minus 70. You get to over 20 which is 0.1. Yeah, I mean, years per second squared. And finally for E 90 comma four and then on 100 common negative two is gonna be a negative slope. Negative acceleration so easy. What a negative two. Minus four. Over 100 minus 90. You get negative. 6/10 or negative 0.6 Fairly steep slope compared to the rest of the graph. So now got some negatives and positives trying to skip to sound real quickly here. I'm gonna put in some lines on the graph eso something positive and negative. We'll put in a horizontal line right about here. And another vertical line here represented by X and Y axes on the time goes out to 100. So let's do every other one is 10. So this would be for my graph. 10 2030 40 50 60 70 80 90 100 Aan den on the vertical. Let's see. 23456789 10. So I'm gonna go up there and say, that's 1 m per second squared a negative one. So every block is 0.1. So let's go ahead and sketch this for the first 20 seconds so that we had to hear the acceleration is 0.3. So 0.3 would be right here. So that goes over horizontally. Thio here. And it transitions to negative 1.33 from 22 fifties. That goes on. We have to hear negative 1.33 So I went down to negative 1.3 go a little bit lower than that's just gonna drop all the way down. Try and do this freehand. Yeah, negative. 1.33 goes over to get to 50 right about here, then goes up to zero. So all the way back up 20 from 50 to 70 and then 0.1, So that would be just up to here from 70 to 90 and the negative 0.6. So out to 100 groups will too far, So out to 100. That's all we know. So that be a graph of acceleration versus time for the craft that was given, wow, kind of sketch.


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