--%>

Velocity of the particle

Determine the Velocity of the particle in terms of component veocities?

E

Expert

Verified

Velocity is rate of change of DISPLACEMENT, and the particle is moving or DISPLACING in x and y directions, and through the image or snapshots the positions are recoded.

The displacement in x or y direction will be change in subsequent position values, such as x2 – x1 or y2 – y1, or Xi+1 – Xi. and is denoted by dX or ΔX.

Similarly the change is time, when the change in position occurs, is t2 – t1 or dtor  Δt.

Now velocity is rate of change of displacement, i.e. dx/dt = ΔX/Δt = (Xi+1 – Xi)/(ti+1 – ti)

Delta t or ?t is the time duration between successive positions, which are recorded on successive images, now since there are 3000 frames per second. Hence 1/3000 seconds per frame.

This means that time duration or delta t between successive images and hence positions is 1/3000 sec.

Now velocity is (Xi+1 – Xi)/(ti+1 – ti) = (Xi+1 – Xi)/(1/3000)

But this is velocity in X direction only and since the particle is displaced in y direction as well you need to find velocity in Y direction also.

(Yi+1 – Yi)/(ti+1 – ti) = (Yi+1 – Yi)/(1/3000)

The velocity of the particle will be vector addition of these component velocities. In other words, you can calculate the velocity as, (VXi2 + VYi2)1/2.

   Related Questions in Physics

  • Q : What do you mean by the term fusion

    What do you mean by the term fusion reaction?

  • Q : Measure of the force of gravity Briefly

    Briefly explain the measure of the force of gravity on the object?

  • Q : Bragg's law Bragg's law - Whenever a

    Bragg's law - Whenever a beam of x-rays strikes a crystal surface in which the layers of ions or atoms are often separated, the maximum intensity of the reflected ray takes place when the complement of the angle of incidence, theta (θ), the wave

  • Q : Physics Assignement complete assignment

    complete assignment with clear solution and explanation

  • Q : Explain Fizeau method Fizeau method (A.

    Fizeau method (A. Fizeau, 1851): One of the primary truthfully relativistic experiments intended to compute the speed of light. Light is passed via a spinning cog-wheel driven by running water, is reflected off a far-away mirror, and

  • Q : Explain Rydberg formula Rydberg formula

    Rydberg formula (Rydberg): The formula that explains all of the characteristics of hydrogen's spectrum, comprising the Balmer, Paschen, Lyman, Brackett, and Pfund sequence. For the transition between an electron in

  • Q : What is Simultaneity principle

    Simultaneity principle: The principle which all frames of reference will contain invariant simultaneity; that is, the two events perceived as simultaneous (that is, containing the similar time coordinate) in one frame will be apparent as simultaneous

  • Q : Define Josephson effects Josephson

    Josephson effects (B.D. Josephson; 1962): Electrical effects examined whenever two superconducting materials are separated by a thin layer of the insulating substance.

  • Q : Explain Coanda effect Coanda effect:

    Coanda effect: The effect which points out that a fluid tends to flow all along a surface, instead of flowing via free space.

  • Q : What do you mean by the term alloy What

    What do you mean by the term alloy? Briefly illustrate it.