# 3.2 Equations of kinematics in two-dimension

Mechanics

Nov 14, 2013 (4 years and 7 months ago)

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Name : Piarani Apriliani

NIM : ACD 112 023

Titles

: Introduction to physics

Authors

: John D. Cutnell & Kenneth W. Johnson

Book Publisher

: John Willey & Sons. Inc

Year Published

: 2013

3.2 Equations of kinematics in two
-
dimension

The
kinematic are two element that direction on the x
-
axis when the objects moves to
the right or to the left. And direction on y
-
axis when the objects moves to up or down.

If x is possitive, it means that the object moves to

the right. And if x is negative, it means
that the object moves to the left.

If y is positive, it means that the object moves to the up. And if y is negative, it means
that the object moves to the down.

Equations of kinematics in two
-
dimension for constan
t acceleration

X component

Variab
le

Y component

x

Displacement

y

a
x

Acceleration

a
y

v
x

Final velocity

v
y

v
0x

Initial velocity

v
0y

+y

+X

-
x

-
y

t

Elapsed time

t

V
x
= v
0x

+ a
x

. t

V
y
= v
0y

+ a
y

. t

X = ½ ( v
0x

+ v
x

) . t

X = ½ ( v
0y

+ v
y

) . T

X = v
0x

. t + ½. a
x

. t
2

X = v
0y

. t + ½. a
y

. T
2

V
x
2

=v
0x
2

+ 2 a
x

. x

V
y
2

=v
0y
2

+ 2 a
y

. y

Based on the table of the equation of motion kinematics in two dimensions contained in
the book, one example of the two
-
dimensional kinematics are
uniformly accelerated
motion (uniformly accelerated motion), which is characterized by c
onstant acceleration.

Analyzing Multiple
-
concept Problems

When an object moves involving two axis direction, it can be resolved in the following
manner:

+x

v

+y
y

θ

(

)

(

)

(

)

(
(

)
(

)
)