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Vel Ivv: (imig 'Kraphds shown below Whiich acceleration / . [irie graph conrespond to (he velocIty v . Ulme graph? VelocIyTime (6)10relerationTie (s)...

Question

Vel Ivv: (imig 'Kraphds shown below Whiich acceleration / . [irie graph conrespond to (he velocIty v . Ulme graph? VelocIyTime (6)10relerationTie (s)

vel Ivv: (imig 'Kraphds shown below Whiich acceleration / . [irie graph conrespond to (he velocIty v . Ulme graph? VelocIy Time (6) 10 releration Tie (s)



Answers

Sketch the acceleration-versus-time graph from the following velocity-versus-time graph.

Hi everyone here it is given you need to grow up. We have to draw exploration time group, refer to the crop. Okay. Okay. Okay. Floor 0- two seconds. Well, the city is constant, so Acceleration is 0, 4 to second to four seconds, acceleration it starts to slope off be ticked off that is four by two, so two m per second squared for time in trouble. Four seconds to Yeah. Mhm. Stay in a 2nd. Actually recent. It's got the slope of the photograph That is -8 x three m/s. expect for seven seconds to eight second acceleration can be measured by snow pictograph which is minus three. The point yeah -3 m/s squared. Four time duration, eight seconds to can chicken velocity again constant. Hence acceleration is zero. Fuck. Okay, 12 seconds to Mhm. Wait a second. Yeah, acceleration is Three upon to, that is 1.5 m/s squared. Okay, this is acceleration meter per second square time and second, zero and two. Mhm. We can plot the graph. No. Uh huh. Okay. Okay. Cool. Four. Okay. Seven hitch jane. Right, that's all. Thanks for watching it.

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.

Were given a velocity versus time graph. Uh huh. And it looks like this negative eight and then it makes a smooth transition to positive eight, eight, negative eight. This is at 10. This is around five and this is around 15. Okay, question is average acceleration From 0 to 5 seconds. From 0 to 5 seconds. The speed really doesn't change. I mean technically at five seconds looks like it changes from the velocity starts at negative eight and goes up to negative 7.5. So that would be 0.5 And the time is five seconds, so .5 divided by five. His 0.1. So the book might know the books not there, but you You could say zero But technically it's .1. Okay, now be oh no, this isn't the yet this is still a 5- 15 seconds. Well 5-15 seconds. Technically we're going from negative 7.5 till positive. Yeah, 7.8. So 7.8 -2.5 over the amount of time, Which is 10 seconds. Okay, let's just put that in a calculator. Mhm. 1.53. Okay. Last one Mhm. From 0-20 seconds from 0 to 20, it goes from negative 8-8. So that would be an increase of 16 and that is in 20 seconds. This is the only one that's really clear. 16/20 is 8/10. That would be 0.8. Okay, baby, Invisaneous acceleration at two Seconds. That would be zero because there's a horizontal line at 10 seconds. Um That would be the slope of that line. And that line is going from, I mean, it's basically rising 16. Run 10. Yeah, So maybe that And the last 1, 18 seconds it's horizontal again. That would be zero. Thank you for watching.

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.


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