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Position vs time to velocity vs.. time graph

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Position vs time to velocity vs.. time graph

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so now we are pretty much a professional graph for we know how to take slopes we don't have to take areas to do hopefully everything I'm going to try to put it all together as a little reminder here we know that if take the slope of a DT graph we get the velocity and if we take it slow we got the acceleration which means it is curved what's a diagonal line we're going to get a horizontal line is going to work I'm going to take a look at a big position time graph aquatic about is how many I want to break this into sections the first one is pretty easy break it up here  think it's pretty clear that something of interest is happening here I hear it's a horizontal line and then starts curving up so that's another spot my were interested in afraid of out here it comes straight line so that's another reason straight line starts curving character character character soundly the curve to come straight over here there are at least one two three four five six distinct regions on this graph something interesting is happening here right at the top  so I'll add that but I think you'll see as we go along that it really nothing  Willits trailer what's the DC graphic Street we know that means uniform most cost Pulaski so none of us are surprised hopefully that the velocity won't change during that section we find the slope and we know it's going to be a horizontal line slope and I found it was too well then there be a horizontal line near Idabel you simple as that math whatsoever that slope is clearly zero so this is a bit weird the crap is going to suddenly drop to zero and I can make this up night  that's not very realistic of course because of the sharp line but we'll talk more about that later it starts  the Curve is going to give us a dynalife  slope at the beginning of the curve is clearly zero a little bit later it's got a stubble sale on a little while later to increase so I know it's going to die clean up if I skip it for one second and I look this section section has a slope of about 4 so is this is two this is for and this section has to be straight so I just connect those two  so far so good then advice of 0 all of a second then the increase to about 4 and stay there for a while what's happening now the curved  it's going down so the slope the same for hear the tangent is clearly going to be zero there's going to be negative at the top the velocity is zero and if I grab my ruler where to put the lie so the Curve  then the last section slope is constant I know what whatever this number is  it's going to stay at that level till the end  so there's my VT graph again all the Care to vote was this. list zero slope increased till the slope is about four than the slope decrease till it was 0 end of the sofa came negative and then it stayed graph of the slope of that drop from the velocity time graph what's the slope for the second day it's clearly zero What's the slope for the third positive what's the score for little bar  what's the slope for this whole section negative little steeper than over here so it'll be a little or the sofa last bit clearly direct me to a gas of the dog line or solid line what's the matter answer those people are wondering clearly when the velocity went from 2 to 0 something had to happen so it's not realistic to say it was here the whole time it's okay  really technically there must have been some very short negative acceleration to stop this guy but it's not real is it to stop in 0 times and now we have our floor sometime guy velocity time graph based on this displacement time graph that we have our solar sometime Grassle maybe we should take a second and just make sure that we're actually understanding what's going on if this last time graph represents the same as this DT graph then let's describe the mode of mixture for the first reach near the object has the street. between that every second there are changing their position at the same amount uniform motion so the object goes at a constant speed in the positive direction and then stops all the sudden for allowing stays at this position  the object all the sudden accelerates starts going at a constant velocity stays there for a while slows down stops backs up and keeps backing up until it's back at the original spot that's what the graph sets velocity time graph accelerate in the plaza directions stopped slow maintain that speed for a while then it slowed down turned around and then maintain flossing the negative Dragon exactly what I just said  another thing we could point it time to take the area  the area of this box the area of this trapezoid would have to be the same as the area of this ship because we know of this area plus these two areas would have to add up to zero because the objects total displacement two Graphics 2020 end of this year so this area Anita Grassi say the same thing but it has a little less information even be drafted says this thing wasn't accelerating for the first section that's true which is not very specific seller in the positive direction for a little while we reset that finish stopped accelerating and then stopped accelerating again the other way to take an AC drive and turn into a beachy graft which I believe it's in the next video

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Position vs time to velocity vs.. time graph

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