00:01
Hello and welcome to this video solution of numerate.
00:04
Here it's given that the displacement of a particle is given by the formula is equal to 3t square minus 52t sorry 3t cube right 52t square plus 115t minus 39 right.
00:33
So this is a expression for displacement right.
00:36
Now you have to plot the displacement velocity and acceleration as a function of time for the first 13 seconds right.
00:41
So what you can do is you can draw the graph or the displacement graph like you start from t equal to 0.
00:50
So this is t and this is s right.
00:53
You start from t equal to 0.
00:55
So it started from negative 39 right and it will increase increase to some values and then move down to a certain higher value and then it will shoot up right.
01:31
The graph will look somewhat like this.
01:33
Next we have got the velocity graph which is given by the derivative of the displacement ds dt which is equal to 9t square minus 104t plus 115 right and this graph this graph will look sort of like let's say this is the velocity and this is the time right.
02:02
It's a parabolic graph right.
02:08
At t equal to 0 it's 115.
02:10
So you start with 115 right and then it will move down and it will move up like this...