00:01
In this problem, a graph of position versus time for a certain particle moving along the x -axis is shown in the figure below.
00:12
Find the instantaneous velocity at following instance.
00:16
Each interval on y -axis x meter is 3 meter.
00:22
All right.
00:34
This is y -axis.
00:35
This is given to us, which is having each.
00:40
You can see each partitions have 3 meters distance right so now how can you do this kind of problem so here it is asked that instant velocity at t equals to 1 second so here somewhere you can say that here somewhere the point would be there for 1 so t equals to 1 seconds so here a velocity is uh we can see that here is a slope so you this is we are having the coordinates of y -axis right so now what is the coordinate this is 15 15 minus 0 right 15 minus 0 and this is divided by what this is divided by actually 2 minus 0 why i am writing 0 because this has very important this has importance because this will help you to solve this other problems as well so now here it becomes 15 minus 0 upon 2 minus 0 and this is multiplied with this has to be multiplied with 7 .5 as we know that this has positive slope you can say that this is this equation is actually given by m into y 2.
02:20
Minus y1 upon x2 minus x1 all right so when you see t equals to three seconds all right so here you observe that there is a decrement of from 2 to 4 you can see here is slow just look at this segment so here from 2 to 4 there is between 3 second is present that means here somewhere that means this is between these 2 right so you can write how can you write this you can write it as.
03:00
So this must be, slope will be minus 3 .75 multiplied by until unless slope is getting changed.
03:26
So here from here, 5 to you can see that from 5 minus 2.
03:32
Can you write this? so this becomes, no, no, no, it's not like this.
03:38
For y -axis we have.
03:41
All right...