00:01
Hello, in the question we have to calculate the speed for each segment on the graph.
00:06
So they have given the segment a, this segment is b, this segment is c, d and e.
00:12
So we have to calculate for each segment the speed.
00:17
So now this is the rough schematic of the graph which i have drawn over here.
00:23
So now for segment a, so they have also given the time.
00:27
So for time t is equals to 0 to 10 seconds.
00:36
So that is segment.
00:41
So we will use the formula over here.
00:43
So this coordinate, i will call it as x.
00:47
So the final one, so this final one, i'm calling it as x2 and the initial one, i'm calling it as x1.
00:54
So this one is x2, this one is x1.
01:02
So velocity is x2 minus x1 divided by t2 minus t1.
01:09
So for this one, i will do and for the others one, we will just recite.
01:16
So x2 over here is 60, x1 over here is 0, then t2 is 10 and t1 over here is 0.
01:29
So from here only we are doing, so 10 minus 0.
01:32
For every problem, for further all the things, we are going to do this only.
01:37
So let us plug the value then.
01:39
So this v will be equal to, so this is for segment a.
01:43
So let me write it as va.
01:44
So x2 is 60 minus 0 divided by t2 minus t1.
01:49
We will call it as delta t from henceforth.
01:52
So this will be 10.
01:53
So 60 divided by 10 is nothing but 6 meters per second.
01:58
So this is va.
02:00
Now for t is equal to 10 to 15 seconds.
02:05
So now see x2 and x1 is same.
02:10
So this is my x2, this is my x1.
02:13
So x2 and x1 is same.
02:14
So x2 minus x1 is 0.
02:16
So this velocity, so this is my segment b.
02:23
So for segment b, this velocity is 0.
02:26
Now for t is equal to 15 to 30 seconds, that is segment.
02:39
So now see this will be x2.
02:42
So for this c segment, this is x2, this is my x1.
02:46
So it is, so x2 is 0.
02:49
So i will write over here x2 is 0 and x1 is 60 and time delta t will be 30 minus 15, that is 15...