Motion in One Dimension – Speed

Speed

 Def : It is the rate of change of distance covered with respect to time covered with the particle and it is a scalar quantity

(i)Instantaneous Speed:  

It is the speed of a particle at particular instant. When we say “speed”, it usually means instantaneous speed.

Instantaneous speed  = \displaystyle \underset{\Delta t\to 0}{\mathop{\lim }}\,\displaystyle \frac{\Delta S}{\Delta t}  = \displaystyle \frac{dS}{dt}

(ii) Average speed  = \displaystyle \frac{Total\,\,\,\,dis\tan ce}{Total\,\,\,\,time}

(iii) Uniform speed :

If during the entire motion magnitude of speed of the body remains same, the body is said to have uniform speed.

(iv) Non-uniform speed :

If magnitude of speed changes, the body is said to have non-uniform speed.


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