Motion Along A Straight Line

The following particle is moving in a straight line.


motion of a particle along a straight line


Define the following variables:

x(t) is the position of the particle as a function of time

Δd is the change in position of the particle

v is the velocity of the particle

a is the acceleration of the particle

t is time


Now,


equations for motion of a particle along a straight line


If we assume constant acceleration, we have the following formulas. Note that the subscripts 1 and 2 denote "initial" and "final".


equations for motion of a particle along a straight line 2


These formulas also apply to bodies which are moving in a straight line, with no rotation. This means that every particle in the body is following the same path.



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