KinematicsF2013-Ave+[Compatibility+Mode]

# KinematicsF2013-Ave+[Compatibility+Mode] - Kinematics...

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1 Kinematics Locomotion Chapter 2 Concepts: Position & Displacement Velocity & Speed Acceleration Motion in one Dimension Free Fall Physiological Detection of Acceleration PHYS 1L03, Fall 2013, McMaster University, R. Nejat Motion What is motion? Motion is a change of position with time. PHYS 1L03, Fall 2013, McMaster University, R. Nejat Motion A child skipping down alley. Can we analyze its motion? http://www.imagekind.com/child-skipping-down-alley-art?IMID=642437f1-365b-4f63-988f-a5e712155344 PHYS 1L03, Fall 2013, McMaster University, R. Nejat Motion A protein is folding. Can we analyze its motion?

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2 PHYS 1L03, Fall 2013, McMaster University, R. Nejat Motion These images of a bird in flight show the bird’s position as a function of time. The bird’s flight! Q: What kind of motion can you verify for this bird’s flight? PHYS 1L03, Fall 2013, McMaster University, R. Nejat Motion What kind of motion can you verify for this bird’s flight? The bird’s flight! A: PHYS 1L03, Fall 2013, McMaster University, R. Nejat Motion In any motion, we deal with: –Where is the object? • Position –How far has the object moved from where is was? • Displacement –How fast is the motion? • Velocity –Is the motion getting faster or slower? • Acceleration PHYS 1L03, Fall 2013, McMaster University, R. Nejat One-Dimensional (1D) Motion • Position –refers to an object location relative to some origin or reference point. The position of the ball is different in these two coordinate systems with two different origins. 0 x 1 1 2 3 4 x 2 0 1 2 3 4
3 PHYS 1L03, Fall 2013, McMaster University, R. Nejat One-Dimensional (1D) Motion Position (a vector) –an object location relative to some origin or reference point, shown as a vector. 0 x 1 1 2 3 4 x G x 2 0 1 2 -1 -2 x G PHYS 1L03, Fall 2013, McMaster University, R. Nejat One-Dimensional Motion Vector and Scalar quantity: • Vector: is a quantity that has both a magnitude and a direction. –Position is a vector quantity. Scalar: is a quantity with no direction. –The mass of an object is a scalar quantity. PHYS 1L03, Fall 2013, McMaster University, R. Nejat One-Dimensional Motion Displacement (a vector) –refers to the change in an object’s position i f x x x G G G ± ' 0 x x i x f i x G f x G i f x x x G G G ± ' 0 x x f x i f x G i x G i f x x x G G G ± ' PHYS 1L03, Fall 2013, McMaster University, R. Nejat One-Dimensional Motion Distance: Describes the length between two locations measured along the actual path used to connect them. Displacement vs. Distance: The magnitude of displacement of an object is not the same as the distance it travels. Example:

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4 PHYS 1L03, Fall 2013, McMaster University, R. Nejat One-Dimensional (1D) Motion One Dimensional (1D) motion can be described by scalars (real numbers with units) as functions of time. –e.g. x(t) The sign (positive or negative) keeps track of direction.
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