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Motion in One Dimension (Linear)
The simplest form of motion Complex motion can be broken down into one-dimensional motion Motion takes place over time and depends upon a frame of reference
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Displacement A change in position (xf – xi) = ∆x [units = m]
Not the same as “distance” Displacement has direction The sign (positive or negative) indicates the direction within the frame of reference
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Velocity Average velocity is displacement (change in position) divided by time vavg = ∆x/∆t = (xf – xi)/(tf – ti) [units = m/sec] Not the same as “speed” (which is “distance”/time) Velocity is the slope of a line/curve in a time-distance graph Instantaneous velocity is not necessarily equal to average velocity The sign (positive or negative) indicates the direction
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Vectors Magnitude and direction – displacement, velocity, acceleration (oh, yeah!) Represented graphically as an arrow (from tail to tip) When two or more vectors are involved a “resultant” vector can be found by adding the individual vectors together – the new tail starts at the old tip vectors can be moved parallel to themselves vectors can be added in any order vector subtraction = the addition of an opposite vector
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