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One-Dimensional Kinematics Position, Distance, Displacement Average Speed/Velocity Acceleration
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One-Dimensional Kinematics Position, Distance, Displacement Average Speed/Velocity Acceleration.

Jan 02, 2016

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Page 1: One-Dimensional Kinematics Position, Distance, Displacement Average Speed/Velocity Acceleration.

One-Dimensional Kinematics

Position, Distance, DisplacementAverage Speed/Velocity

Acceleration

Page 2: One-Dimensional Kinematics Position, Distance, Displacement Average Speed/Velocity Acceleration.

Online Tools/Announcements

• http:/aw-bc.com/walker/

• Online homework coming soon

• QUIZ over Chapter 2 one week from Thursday ( 9/6 )

• “Chapter Summary” may be useful for each chapter

Page 3: One-Dimensional Kinematics Position, Distance, Displacement Average Speed/Velocity Acceleration.

2-1 Position, Distance, and Displacement

Before describing motion, you must set up a coordinate system – define an origin and a positive direction.

Page 4: One-Dimensional Kinematics Position, Distance, Displacement Average Speed/Velocity Acceleration.

2-1 Position, Distance, and Displacement

The distance is the total length of travel ( m ); if you drive from your house to the grocery store and back, you have covered a distance of 8.6 mi.

Page 5: One-Dimensional Kinematics Position, Distance, Displacement Average Speed/Velocity Acceleration.

2-1 Position, Distance, and DisplacementDisplacement is the change in position. If you drive from

your house to the grocery store and then to your friend’s house, your displacement is 2.1 mi and the distance you have traveled is 10.7 mi.

Page 6: One-Dimensional Kinematics Position, Distance, Displacement Average Speed/Velocity Acceleration.

2-2 Average Speed and Velocity

The average speed is defined as the distance traveled divided by the time the trip took: Average speed = distance / elapsed time

Page 7: One-Dimensional Kinematics Position, Distance, Displacement Average Speed/Velocity Acceleration.

2-2 Average Speed and Velocity

Average velocity = displacement / elapsed timeIf you return to your starting point, your average velocity is zero.

Page 8: One-Dimensional Kinematics Position, Distance, Displacement Average Speed/Velocity Acceleration.

Conceptual Checkpoint 2-1

Page 9: One-Dimensional Kinematics Position, Distance, Displacement Average Speed/Velocity Acceleration.

Conceptual Checkpoint 2-1

Page 10: One-Dimensional Kinematics Position, Distance, Displacement Average Speed/Velocity Acceleration.

2-2 Average Speed and Velocity

Graphical Interpretation of Average VelocityThe same motion, plotted one-dimensionally and as an x-t graph:

Page 11: One-Dimensional Kinematics Position, Distance, Displacement Average Speed/Velocity Acceleration.

2-4 Acceleration

Average acceleration:

(2-5)

This is for linear acceleration ( change in speed )For constant speed but change in direction: centripetal acceleration

Page 12: One-Dimensional Kinematics Position, Distance, Displacement Average Speed/Velocity Acceleration.

2-4 Acceleration

Graphical Interpretation of Average and Instantaneous Acceleration:

Page 13: One-Dimensional Kinematics Position, Distance, Displacement Average Speed/Velocity Acceleration.

2-4 Acceleration

Acceleration (increasing speed) and deceleration (decreasing speed) should not be confused with the directions of velocity and acceleration:

Page 14: One-Dimensional Kinematics Position, Distance, Displacement Average Speed/Velocity Acceleration.

THURSDAY!!

• Go to lab stations as soon as you get to class

Page 15: One-Dimensional Kinematics Position, Distance, Displacement Average Speed/Velocity Acceleration.

HOMEWORK ( show work )!!

• EVERYONE:• Pg 48 ( #s 4,10 ) Pg 49 ( # 14 ) Pg 50 ( # 32 )

• AP:• Pg 48 ( # 6 ) Pg 49 ( # 23 )

Page 16: One-Dimensional Kinematics Position, Distance, Displacement Average Speed/Velocity Acceleration.

2-5 Motion with Constant Acceleration

If the acceleration is constant, the velocity changes linearly:

(2-7)

Average velocity:

Page 17: One-Dimensional Kinematics Position, Distance, Displacement Average Speed/Velocity Acceleration.

2-5 Motion with Constant Acceleration

Average velocity:

(2-9)

Position as a function of time:

(2-10)

(2-11)

Velocity as a function of position:

(2-12)

Page 18: One-Dimensional Kinematics Position, Distance, Displacement Average Speed/Velocity Acceleration.

2-5 Motion with Constant Acceleration

The relationship between position and time follows a characteristic curve.

Page 19: One-Dimensional Kinematics Position, Distance, Displacement Average Speed/Velocity Acceleration.

2-6 Applications of the Equations of MotionHit the Brakes!

Page 20: One-Dimensional Kinematics Position, Distance, Displacement Average Speed/Velocity Acceleration.

2-7 Freely Falling Objects

Free fall is the motion of an object subject only to the influence of gravity. The acceleration due to gravity is a constant, g.

Page 21: One-Dimensional Kinematics Position, Distance, Displacement Average Speed/Velocity Acceleration.

2-7 Freely Falling Objects

An object falling in air is subject to air resistance (and therefore is not freely falling).

Page 22: One-Dimensional Kinematics Position, Distance, Displacement Average Speed/Velocity Acceleration.

HOMEWORK!!

• Pg. 50 ( #44 )

• Pg. 51 ( # 49 )