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


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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