what is the difference between change in velocity & change in displacement?

Question

please dont say acceleration(former) & velocity(latter)

Answer 1

Hey the only similarity between the two is that they are vector quantities.

Displacement:- It refers to the shortest distance from the initial and the final point and displacement can be -ve since in vector quantities direction are also considered along with the magnitude.

And as far as the velocity is considered.

Velocity:- Velocity is a vector quantity .in which displacement is considered rather then distance . Velocity is taken in place of speed when there is direction to consider.

Velocity=Displacement / Time.

I hope u understood wat i was trying to tell u that displacement and velocity are totally diffent physical quantity.

Answer 2

But thats just what it is. The difference is that a change in the velocity is a change in the change in displacement. Think of taking a displacement at time t x(t), and again a little bit later at t+dt of x(t+dt).

then the change in displacement is x(t+dt) - x(t). If you divide this displacement by the time between then you get the average velocity between time t and t+dt

v_ave(t) = (x(t+dt) - x(t))/dt

as you make this time difference smaller and smaller, then you get the instantaneous velocity, and you start talking about derivatives..lim as dt ->0

v(t) = dx/dt

The same thing goes for the velocity. A change in velocity is then v(t+dt) - v(t), and your average acceleration is

a_ave(t) = (v(t+dt) - v(t))/dt, and as you make dt small again, you find the instantaneous acceleration and it becomes a derivative of the velocity

a(t) = dv/dt. but v(t) = dx/dt
so

a(t) = d^2x/dx^2

So in terms of instantaneous changes in velocity and displacement, they are related by taking derivatives. In general however, one difference that I could give would be that a change in displacement does not imply a change in velocity. If a particle is moving with a constant velocity, then the change in displacement will be a linear function, but there will be no change in velocity. On the other hand, a change in velocity does imply a change in displacement because if a particle is moving with a linearly changing velocity, then the displacement will change quadratically.

Answer 3

In other to have a full grips of the understanding of Subject one must know that though Velocity and displacement are both vector quantity, and that they are differentiated by :
1a-Displacement is mere vector that points between the initial position of an object to its final position, and it is measured in meters
1b-Where as Velocity vector which show the rate and direction of motion an thus measured in meters per second.
With a full grips of this points then one can see that a change in velocity means a change in meters per second ,while a chnage in displacement is a mere change in meter ('distance')

Answer 4

Velocity is the first derivative of displacement with respect to time. Mathematically a change in displacement means velocity, v(t)=dx/dt. Acceleration is a change in velocity, and becomes the second derivative of displacement, a(t)=d2x/dt2=dv(t)/dt.

Answer 5

Change in displacement is simply motion. The rate of change of displacement is velocity.

And the rate of change of velocity is acceleration.

Integral of rate of change in velocity with respect to time will be rate of change in displacement.

Answer 6

displacement refers to the shortest distance between the initial and final point. it differs from distance! so, velocity can be negative, while distance cant!
this means, change in velocity i.e acceleration can be negative too!
rate of change of displacement is velocity/

Answer 7

Dear,




change in velocity is not acceleration ; but is caused by acceleration .So both are different !
"CHANGE IN VELOCITY" only means that initial and final values of velocity are not same.



Also , change in displacement is not velocity ; but the cause may be - the change in velocity .
As DISPLACEMENT is SHORTEST DISTANCE BETWEEN TWO REFERENCE POSITIONS, so
"CHANGE IN DISPLACEMENT" means just that shortest distance between two reference positions have changed or the body had moved.


the difference between both is same as the difference between buying a car and buying a bike !
As car and bike are totally different things so buying any is different from other.

So THE DIFFERENCE IS - they are changes in completely different physical entities,displacement and velocity .


KEYPOINT- Displacement( M0 T0 L1)is different from Velocity(M0 T-2 L1).

*mlt is dimensional formula.

Answer 8

Change in displacement means a thing has changed its position in space from one place to another avainling some time i.e; a time intervel. For equal intervels of time, the distance it convered can be same or different, as it travels.
Now, if this thing is different, it is called change in velocity.

Answer 9

they both r interlinked.

change in velo. is change in speed in particular direction & change in displacement is change in the final position with respect to the initial pt.

Answer 10

displacement-change of position of body
velocity-it is the ratio of distance traveled by time taken(speed).