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Mechanics by Somnath Datta

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Chapter 2

Velocity and Acceleration in Rectilinear Motion

2.1 DISPLACEMENT-TIME GRAPH

Two fundamental concepts that lie at the back of anything that we say about motion are velocity and acceleration of a particle. Before looking at velocity and acceleration in 3 dimensions, which requires vector considerations, it will be fruitful to get some of the kinematical concepts cleared by applying our mind to motion in one dimension.

One dimensional motion does not involve vectors. Addition of displacement, velocity etc. are done algebraically, and hence there is no need for the triangle rule of addition that applies to vectors. However, by studying some examples of one-dimensional motion we get a foothold and become used to calculus as an essential ...

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