00:01
Well, let's do part a.
00:02
We are going to draw the motion diagram, right? so this is the y -axis.
00:08
On y -axis, we take the displacement, and this is the x -axis.
00:13
On x -axis, we take time.
00:16
T, and on the y -axis, we take time.
00:21
Sorry, we take the displacement x.
00:24
So initially, the object is here at all.
00:29
Here, x -relation is.
00:30
Is equal to the 0 and v is maximum right and v is pointing vertically upward right and then after some time t its position is here here velocity in x relation are in the opposite direction and then finally it goes at the maximum displacement and now x relation is downward right so here x -relation is also downward velocity is upward but at this point at the extreme point velocity is zero and x -relation is toward o and time here is t divided by four and gradually the object does this so now at this location both velocity in x -relation are vertically down right and at this point x relation is equal to 0 and v is maximum and v is pointing here so here v is maximum and now time is t divided by 2 and further it goes like this so again this is the extreme point here x relation is in the direction shown by the vector the loss is equal to 0 and remember now the object is gone to negative a it has gone to the maximum displacement but in the opposite direction right and then comes here and then it this point now one cycle has completed t so here time is 3t divided by 4 and here x relation and velocity are in the same direction right now we do part now let us do part b because the velocity is the derivative of position therefore we have t divided by d t into sine t is equal to cosine of t therefore graph will be of cosine function during one period t so the graph of cosine function so the graph of cosine function is this one.
03:01
Right.
03:02
So this is the graph of cosine function.
03:06
Here time is zero.
03:08
And then we have t divided by four.
03:12
And here it's t divided by two and so on...