# L4 - Last&me Need for a Reference Frame origin positive...

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Last &me ….. L4 W 1/20/10 Physics 2010 1 Need for a Reference Frame: origin, positive direction in 1D. Position = x Distance traveled Displacement = Δ x = x f – x i Average velocity = Instantaneous velocity = Instantaneous speed = | v | Graphical relation between position vs. time and velocity vs. time: Velocity is the slope of a position vs. time graph. v = Δ x Δ t v = lim Δ t 0 Δ x Δ t

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Graphs of position versus time & relation to velocity Note: constant v slope constant graph of x versus t is a straight line Travel in the +x direction at a constant velocity v: L4 W 1/20/10 2 Physics 2010
Graphs of position versus time & relation to velocity What if v constant? Slope of the graph gives information about the instantaneous velocity. L4 W 1/20/10 3 Physics 2010

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Graphs of position versus time & relation to velocity What if v constant? fast slow L4 W 1/20/10 4 Physics 2010
Graphs of position versus time & relation to velocity What if v constant? The instantaneous velocity is the slope of the line tangent to the x vs t curve at the point. = slope of the tangent line L4 W 1/20/10 5 Physics 2010

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A train moves along a straight track and its position vs. time looks like: Which graph best depicts its velocity vs. time?
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