2
DOC.
1
MECHANICS LECTURE NOTES
x

a +
bt
x +
Ax
=
a +
b(t
+
At)
Ax
=
bAt
Ax
~At
=
fo
(b)
nonuniform
[p. 3]
Arbitrary
Curvilinear Motion
(Definition
of
mean
and
instantaneous
velocities)
[5]
Velocity
is
a
vector
(structure
defined
by
magnitude, direction,
and
orientation).
Graphically
represented
by an arrow
of
a given
direction
& magnitude.
Usually
denoted
by
German letters
(e.g.,
21).
Components
Ax,
Ay, AZ.
Two vectors
A
=
(Ax,
Ay,
Az)
and
B
=
(Bx,
By,
Bz)
One
speaks
of the
sum A
+
B
of these
vectors.
By
this
one means
the
vector
(Ax
+
Bx, A
+
By, Az
+ Bz)
Geometrically
The commutative
law
applies.
In the
case
of
several
vectors,
the
associative
and
distributive