CHAPTER(2)

CHAPTER(2)

Motion along a Straight Line

آا

ﺡاو ى )

(

Position:

و ا !" #ا $% ه ' (ی

ر+ا ,"

' !ﺱ وأ ' ﺝ !إ ن2ﺕ نأ 42+ی او .

ه آا ا ا تا هأ :

-1 ﺡازا displacement )

6!#ﺕاو را !7 '# '+آ (

-2 ا velocity )

6!#ﺕاو را !7 '# '+آ (

-3 عر ا acceleration )

6!#ﺕاو را !7 '# '+آ (

Displacement :

.

direction magnitude د

ا و ا ا اا

ا ةرﺏ ﺡاو ر! "# آ%ا &آ اذإ

+

positive direction(to right)

-

negative direction(to left)

اا )ﺏ *+ا او

Position

Displacement

Average Velocity

Velocity

لوا %!9ا ا

Average acceleration

Acceleration

لوا %!9ا ﻥ!;ا %!9ا وأ

ا

Displacement is a vector quantity it has both magnitude and direction او را آ ازا

Velocity ( Unit: , m/s, km/h )

Average#$ﺱ&ا ا Instantaneous'(ا ا

Average Velocity Average Speed Instantaneous Velocity Instantaneous Speed

)*او را,-. د, 0-1 را,-. د, (or Velocity )

)*او را,-. د,

(or Speed) 0-1 را,-. د,

!"# $%"&

' ||

₎* * ₊… .

₎* * ₊… . (ر ا 9إ- ,8ا 9إ+) )*2ا د, 34ا ةر6ا

( -($ا -ا

Acceleration ( Unit:

, m/s

²

, km/h

²

)

Average acceleration Instantaneous acceleration (or acceleration)

) را,-. د, )*او

( ()*او را,-. د,)

-.

(ر ا 9إ- ,8ا 9إ+) )*2ا د, 34ا ةر6إ

If , have the same sign (+/+ or -/-)speed increase

&آ اذإ ةرإ

#%+ا عر+.او /ﺏ0.

ن2*

#%+ا ا3.

If , have different sign (+/- or -/+)speed decrease &آ اذإ ةرإ

#%+ا ن2* 4".5 عر+.او

#%+ا 67.

آا

) عر

! "

(

Constant Acceleration

آا ا

عر!"

="!ﺙ Free-Fall Acceleration

آا ید+(ا

عر!"

="!ﺙ طا ) ا

(

! كی يأ ﺝ

!ید+

C وأ 9ﺱC

"!2 ت,د!(

آا ید+(ا را2"

E9ﻥ Fﺕ ة!ا $ ' ا آا 4ﻥاH

!!آ ت,د!(+ا :

–1 آ لا ﺱا

ـ"

2 - لا ﺱا عر!ا ,ا عر!"

"ذ!#ا

1-

₀

*

2-

_{0 0}

*

⁾

1-

₀

3-

₀

* 1

₀

2 2- . .

_{0 0} ⁾

4-

₀

⁾

13 *

₀

2 3-

₀

1. .

₀

2

5-

₀

⁾

4- . .

₀

⁾

13 *

₀

2 5- . .

₀

*

⁾

₀ is the initial velocityis the initial velocityis the initial velocityis the initial velocity

ا) Oا",ا (

is the final velocity is the final velocity is the final velocity is the final velocity

ا) O!7ا (

is the accelerationis the accelerationis the acceleration is the acceleration

عر!ا) (

is displacementis displacementis displacementis displacement

ﺡازQا) (

is time is time is time is time

4Rا) (

'ﺡ=ﻡ : ? 8 @&Aا ,4

Bﺡ ,4 ن&ﻥ-ا 1

ةر6Eا نو,. -ا FGﻥ 4ﻥH1 B ا

= 9.8 m/s²

: SﺡT ﺡ

; 6Uه O!+ا V W یX نأ

!7ﺕ ت!(+ا ماZﺱ!"

,و مZﺕ ا ا

!7 ﺡ تا

"!ﺱ يد!9 [ذو ء!,ا

ةر2+ا

3 0

. 4 1*2

3

₀

*5.

9( آا

Upward (+)

3

₀

0

. 4 12

3 5.

Bﺱ آا

Downward (-)

6. 7 6. 7

Maximum height Maximum heightMaximum height Maximum height

6. 7

Throw فJ- Rise F

Drop, Fall 0-

How Long . 8ﻡز How high عرا How far ,A.

How fast ﺱ

If the particle starts its motion from the rest, that means the initial speed is zero

اذإ ء"

#ا 'آﺡ 4 ن2ا (the rest )

، ن^

'ﺱ Oا",ا يو!ﺕ

9 )

ا Oا",ا (

) ا Oا",ا ) (

ا O!7ا (

) ا O!7ا (

*.

*.

Stop v=0

6. 7 always at any point above the ground عر ا .K ? اد

)

a=a=

a=a=----9.89.89.89.8

( ضرا M$ﺱ ق&1 $-ﻥ يأ ,4

Ascent Descent

.

.