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| Graphical Representation of Uniform Motion |
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| The rate of change of position of a particle in a particular direction gives the velocity of the particle. It may also be defined as the time rate of change of displacement of a particle. Velocity is a vector quantity. |
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| A motion is said to be uniform if the particle covers equal distances in equal intervals of time, however small these intervals may be. |
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| The position-time graph of an object in uniform motion in one dimension is a straight line AB. The slope gives the rate of change of position w.r.t time i.e., velocity. |
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| Mathematically, |
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| Consider a right angled triangle CDE, the y-intercept and x-intercept are (x2 - x1) and (t2 - t1) respectively. |
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| When a particle has uniform motion, neither the magnitude nor the direction of velocity changes. So velocity is constant in uniform motion. When a particle moves with constant velocity, the average velocity of the particle between any two points along its path is the same and this is equal to the instantaneous velocity of the particle. |
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| When a particle possesses uniform motion, its velocity-time graph is a straight line parallel to the time axis, as illustrated in the figure below. |
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| From the above graph i.e., velocity-time graph, one can calculate the displacement by finding the area of the shaded portion. |
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| i.e., displacement in a time t = Area of the rectangle OABC= OA x OC |
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| displacement = velocity x time |
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| Again, in uniform motion, a particle undergoes equal displacement in equal intervals of time. This is illustrated in the figure below. Here, at t=0, x=0. |
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