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Drawing Velocity Time Graphs from Position Time Graphs Uniform and Non-Uniform Motion

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How can we use d-t graphs to determine v- t graphs? Find the velocity for each section of the graph and plot it (make a list of points).

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Think about… Sketch a position-time graph of each object listed below. Describe its slope as positive or negative, and as constant, increasing, or decreasing. A) a stone at rest B) a jogger moving steadily to the right C) a bicycle moving to the left and slowing down D) a rocket moving up at an increasing speed E) a stone falling freely with increasing speed F) a parachutist drifting down at a steady speed

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Non-Uniform Motion An object does not always move at a constant speed. You may speed up or slow down. Non-uniform motion, when graphed, appears as a curve not a straight line.

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Instantaneous Velocity When you are driving on the highway and you look down at your speedometer, you are traveling at + 55 km/h. At that instant in time, + 55 km/h is your instantaneous velocity. For uniform motion, your instantaneous velocity is the same as you average velocity. For non-uniform motion, your instantaneous velocity changes.

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Finding Instantaneous Velocity from a Graph (Uniform Motion) To find instantaneous velocity on a uniform position- time graph, just find the average velocity for the given segment.

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Finding Instantaneous Velocity from a Graph (Non-Uniform Motion) To find instantaneous velocity on a non- uniform position-time graph, draw a line that is tangent to the curve at that point. The slope is the instantaneous velocity (take the two points on the tangent from each side of the point).

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http://en.wikipedia.org/wiki/Tangent

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Instantaneous Velocity (Non- uniform Motion)

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Page 57 Page 57, question 4 Page 58, question 5 Worksheet

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