00:01
See we are having a position time graph and we have to use this position time graph to compute our velocity time graph and the acceleration time graph so what we can say this is our position time graph so now let us see let us name this as a b c d and e these are the points here so if we see velocity it is dx divided by the dt.
00:32
So for this if we see the slope it is negative for the portion a to b.
00:37
So velocity must have negative sign and here this line is a straight line.
00:42
So dx divided by dt it is constant.
00:45
So velocity it is negative for a to b, velocity a to b, but it is constant in magnitude.
00:53
So this is for velocity from a to b.
00:56
Now from b to c, velocity it is increasing and it is constant in magnitude.
01:05
It is again constant in the magnitude here.
01:08
Now if we have to find the magnitude for a to b portion, for a to b the magnitude it is 3 divided by the 2 .5 and it is 1 .25 but it should carry a negative sign and values should be in the meter per second.
01:24
Now from b to c, we can compute this velocity from the minus 3 to the plus we can say from the point in the graph it is minus 3 to 3 it is going.
01:41
So magnitude it will become this end time duration which is elapsed in this particular case.
01:50
It is can be written as we can say three second it is elapsed here and from here the magnitude will become two meter per second and this is also a constant magnitude because the slope it is constant c to d there is no change in the displacement so velocity it is zero from the c to d now from d to e, what will happen? d to e velocity will be decreasing from finally zero and initially it is this and this from here it is 1 .5 meter per second.
02:34
So this is the thing and it is also the constant.
02:37
So now if we convert our velocity time graph from here, we can write this thing...