Wednesday, February 13

Uniform Motion


Introduction to Uniform Motion

A motion is said to be uniform if the particle covers equal distances in equal intervals of time, however  small these intervals of time may be , always in the same direction. Strictly speaking , no motion is uniform.

When a particle has uniform motion, neither the magnitude nor the direction of velocity changes , so the velocity is constant in uniform motion and is equal to Instantaneous velocity of the particle. I like to share this equation for frequency with you all through my article.

So uniform is a relative concept. If an object A is in uniform motion relative to another object B, then from B's view there appear to be no force applied to A; i.e. it appears to be neither accelerating nor decelerating, nor changing directions or moving in a curve. The same should apply vice versa.

when a particle possess uniform motion, it's velocity- time graph is a straight line parallel to time axis.If the velocity of the particle is taken as positive, the straight line is taken above the time axis and if it is negative, then the V-t graph will be a straight line below the time axis


Uniform Motion : Velocity- time Graph


The Velocity- time graph for uniformly accelerated rectilinear motion is straight line sloping upwards.

The velocity- time graph for a uniformly retarded motion is a straight line sloping downwards.

Let us consider a particle moving with constant acceleration .If U and V be the velocities at time t1 and t2  respectively, then

`V= U+at` gives the equation connecting initial velocity, final velocity, acceleration and time. I have recently faced lot of problem while learning Effects of Radiation on Humans, But thank to online resources of math which helped me to learn myself easily on net.


Uniform Motion : V-t Graphs and Acceleration


The Velocity- time graph for the uniformly accelerated motion of a particle is a straight line sloping upwards.

The area under the V-t graph gives the distance covered by the particle.It is calculated by the equation `V^2= U^2+2ad`

so here distance is as area under Velocity- time graph

The slope of the V- t graph for uniformly accelerated motion gives the acceleration.

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