Rectilinear Kinematics
WHAT IS RECTILINEAR KINEMATICS?
Rectilinear kinematics refers to straight line motion.
The kinematics of a particle is characterized by specifying at any given
time, t, the particle's position, velocity, and acceleration.
The position of an object is defined by a vector ๐๎ฌฆ(๐ฅ,๐ฆ,๐ง). The velocity of an
object is defined as the change in position relative to change in time, and it can
be written as:
๐ฃ๎ฌฆ = ๐๐๎ฌฆ
๐๐ก =(๐๐ฅ
๐๐ก ,๐๐ฆ
๐๐ก ,๐๐ง
๐๐ก)
The acceleration of an object is defined as the change in velocity relative to
time, and it can be written as:
๐๎ฌฆ = ๐๐ฃ๎ฌฆ
๐๐ก
CONSTANT ACCELERATION MODEL
If an object is moving in a straight line at a constant acceleration, the kinematic
relationships can be written as:
๐๐= ๐๐+๐๐๐๐ซ๐ + ๐
๐๐ ๐ซ๐๐
๐๐= ๐๐+ ๐ ๐ซ๐
๐๐
๐= ๐๐
๐+ ๐ ๐ (๐๐โ๐๐)
where:
๏ท ๐๐ is the initial position;
๏ท ๐๐ is the final position;
๏ท ๐๐ is the initial velocity;
๏ท ๐๐ is the final velocity;
๏ท ๐ is the acceleration.
