This preview shows page 1. Sign up to view the full content.
Particle kinematics – General 1D motion
−
Position
x
: location of the particle is its coordinate
→
x
(
t
). Unit is m.
−
Velocity
υ
: velocity is associated with change in position
(a) Define average velocity
υ
ave
as change in position per unit time:
21
ave
x
x
x
ttt
υ
−
Δ
==
Δ−
(b) Define instantaneous velocity
υ
as the time rate of change in position:
dx
dt
=
Unit is m/s, and
Δ
x
is defined as the displacement.
−
Acceleration
a
: acceleration is associated with change in velocity
(a) Define average acceleration
a
ave
as change in velocity per unit time:
ave
a
tt
t
−
Δ
(b) Define instantaneous acceleration
a
as the time rate of change in velocity:
2
2
dd
a
dt
dt
x
0
Unit is m/s
2
.
Note: (1) Position, velocity, and acceleration are vector quantities. In 1D motion, all three should
have signs that represent the directions. (2) Graphical interpretations: Slope of the secant line on the
x

t
curve is
υ
ave
and slope of the tangent line is
υ
. Slope of the secant line on the
υ

t
curve is
a
ave
and
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 04/12/2008 for the course PHYS 2305 taught by Professor Tschang during the Spring '08 term at Virginia Tech.
 Spring '08
 TSChang
 Physics

Click to edit the document details