Presentation CHAPTER2

# Presentation CHAPTER2 - MECHANICS PART 1 CHAPTER 2...

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1 MECHANICS PART 1 CHAPTER 2 Motion (or kinematics) in One Dimension Displacement, Velocity, and Speed Acceleration Motion with constant Acceleration

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2 Displacement Position and Displacement Time 0 Time 1 Time 2 Average Velocity and Speed Average velocity i f avx t t x x t x v - - = = 1 3 t d d time total dist total speed Average 2 1 . + = = s m units SI T L Dimention / Time interval t t t i f = - It is important the choice of direction for sign (+ or -) of average velocity.
3 The  displacement  is     x 2 - x 1 ( 29  (   =∆ x). The  distance traveled  is     x 2 - x 1 ( 29  also.    0    x 1    x 2    0    x 1    x 2    x 3 start  finish    d 1 start  finish    d 2 The  displacement  is     x 3 - x 1 ( 29 . The  distance traveled  is     x 3 - x 1 ( 29 = d 1 + d 2 ( 29 .    0    x 1    x 2    x 3 start  finish    d 1    d 2 The  displacement  is     x 3 - x 1 ( 29 . The  distance traveled  is     d 1 + d 2 ( 29 distance traveled > displacement

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5 Average velocity define by slope of line connecting initial and final point of curve x as function of time t. 3 x

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6 What is the average velocity over the round trip of an object that is launched straight up from the ground and falls straight back down to the ground? The average velocity is defined as t y v = av The change in position for any round trip is zero by definition. 0 0 = = = t t y v Δ Δ Δ av
7 A particle moves from x 0 = 30 cm to x = –40 cm in 5 s. The average velocity of the particle during this time interval along the x -axis is A. 2 cm/s B. –2 cm/s C. 14 cm/s D. –14 cm/s E. –140 cm/s Example:

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8 Two train 70 km apart approach each other on parallel tracks one train with speed 20 km/h second train with speed 30 km/h. A bird flies back and forth at average speed 20 km/h between train until trains pass each other . What the distance does bird fly? Problem: Total distance for first train and second Solution: t speed d bird bird = ( 29 t s s t s t s d d d train train train train train train total + = + = + = 2 1 2 1 2 1 ( 29 train train total s s d t 2 1 + = ( 29 km h km h km km h km s s d speed d train train total bird bird 28 / 30 / 20 70 / 20 2 1 = + = + =
9 Figure shows the position of a particle as a function of time. Find the average velocities for the time intervals a , b , c , and d indicated in the figure. ( a ) x a = 0 0 = av v b ) x b = 1 m and t b = 3 s s m v / . av 33 0 ( c ) x c = –6 m and t c = 3 s s m v / av 2 - = ( d ) x d = 3 m and t d = 3 s s m v / av 1 =

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10 Instantaneous Velocity and Speed The instantaneous velocity v x is the limit of the ratio Δ x / Δ t as Δ t approaches zero. Or slope of the line tangent to
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Presentation CHAPTER2 - MECHANICS PART 1 CHAPTER 2...

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