00:01
Coming to the question number 1, it has been given that the particles that are under uniformly accelerated rectilinear motion have constant velocity.
00:11
This statement is wrong because we know that for uniformly accelerated motion v equals to u plus a t, that means with the passing of time the velocity v changes so it is not remaining constant.
00:32
So, first option is wrong, that is, this is false.
00:40
Question number 1 is false.
00:43
Now coming to the statement 2, we know that acceleration a in uniformly accelerated motion can be written as dv by d t, that is the derivative of velocity with respect to time.
01:00
So, we can let change this.
01:03
That is dv by d x into d x by d x by d x basically this d x and d x will cancel out so we can also write in this fashion that means a can be written as dv by d x into velocity v basically v equals to d x by d t that is the derivative of x with respect to time so we can write a the acceleration a equals to product of velocity into the derivative of velocity with respect to x, that is the product of this and this velocity v.
01:47
So, the statement 2 is correct, that is the statement 2 is true.
01:55
That means we can start the formula derivation for velocity particle under uarm by equating the product of velocity, that is the v here.
02:08
Into its derivative with respect to the position, that means db by dx.
02:16
So the second statement is true.
02:21
Now coming to the third statement, that is, particles under uniform rectilinear motion have constant velocity and acceleration.
02:32
This is true statement because let's suppose a particle is moving with a constant uniform velocity, that means its velocity v will be constant and acceleration a will be equals to 0.
02:51
But this 0 can be also taken as constant.
02:57
But due to the cases like a equals to 5, this statement may be wrong.
03:03
So we can say that acceleration if taken equals to 0 then only this particular statement that is statement number 3 is satisfied, so we can assume that this particular statement is wrong because of the fact that if acceleration let's suppose taken constant as equals to 5 meter per second square, in that case the velocity will not remain constant.
03:36
So we can conclude that that the statement 3 is wrong...