Lecture 5.docx - Linear Kinematics Change in Location An...

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Linear Kinematics Change in Location An important thing in human movement is a change in location o From that we might want to look at a distance or a displacement o Distance is not a vector They are constantly going in different directions You don’t have a direction they are going It is a scalar The distance a skater will travel may be measured from the track left on the ice. o The skater’s displacement is measured in a straight line from start to finish That is how far they traveled on the ice Now it can have an arrow head because there is a definite direction This is a vector Which one is a vector and which one is a scalar? Speed & Velocity (Rate of change in location) Change in location as a function of time Speed = distance traveled/change in time o Actual speed that they were skating at on average o Speed is the scalar Velocity (v) = change in position (displacement) /change in time o = Δ position/Δ time has a direction associated with it o v = displacement/change in time = d/Δ t o velocity is a vector There is a little bit of an average here o Just because we figure out the speed they go or the velocity they go, doesn’t mean they went always the same speed o The hockey player example above doing displacement or distance they still took the same amount of time Time is the same Which has bigger magnitude? Speed Whichever one of distance or displacement is bigger will govern whether the speed or velocity is bigger o In hockey player example distance is larger than displacement so the speed is bigger than the velocity Speed & Velocity Which variable is a vector?
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o Velocity is the vector because it has a direction and a magnitude o Velocity = (position2 - position1) / (time2 - time1) Both Direction and Magnitude Use Vector Algebra What are the units? o m/s Resultant Velocity The velocity of a swimmer in a river is the vector sum of the velocities of swimmer and current. o Swimmer is swimming straight up the river That is their velocity o At the same time the current has a velocity that pushes them o Their actual resultant velocity is where they started to where they ended
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  • Fall '13
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  • Velocity, Numerical Estimation,  Change

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