1. A vector
a
G
can be represented in the
magnitudeangle
notation (
a
,
θ
), where
22
x
y
aa
a
=+
is the magnitude and
1
tan
y
x
a
a
−
§·
=
¨¸
©¹
is the angle
a
G
makes with the positive
x
axis.
(a) Given
A
x
=
−
25.0 m and
A
y
= 40.0 m,
( 25.0 m)
(40.0 m)
47.2 m
A
=−
+
=
(b) Recalling that tan
= tan (
+ 180°), tan
–1
[(40.0 m)/ (– 25.0 m)] = – 58° or 122°.
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This note was uploaded on 05/17/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics

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