Kinematics

Particle’s Motion Kinematics
(Part 1)

Position, Displacement, and Distance
a. Position

Position is the location of particle relative to a frame of reference and expressed by te vector quantity r.

To exprexx directioan in a Cartesian coordinate, we us a unit vector perpendikular to each other.

Unit vector i ( in x direction), and

Unit vector j (in y direction)

If the particle or object is at point (x, y), then its position is expressed as:   r = xi + yj

b. Displacement

Displacement is the change in position of particle expressed as a vector quantity ∆r.

If r0 is the initial position and rt is the final position, then the displacement can be written mathematically as

r_o + ∆r = r_t

∆r = r_t – r_o

or

∆r = ∆xi + ∆yj 

c.      Distance 

Distance is the magnitude of displacement traveled 

by a particle as scalar quantity I ∆r I or ∆r.

Distance can be written matematically using Pythagoras’ theorem

Complete file Kinematics 
for High School