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Graphing motion

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Displacement vs. time Displacement (m) time(s) Describe the motion of the object represented by this graph This object is at rest 2m from the reference point.

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Displacement vs. time Displacement (m) time(s) Describe the motion of the object represented by this graph Starting at the origin, the object travels at a constant velocity of +2.0 m/s for 3.0 s and ends +6.0 m from the origin.

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Displacement vs. time Displacement (m) time(s) Describe the motion of the object represented by this graph Starting 5.0 m from the origin, the object travels at a constant velocity of -1.25 m/s for 4.0 s and ends at the origin.

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Displacement vs. time Displacement (m) time(s) Describe the motion of the object represented by this graph Starting -3.0m from the origin, the object travels at a constant velocity of +4.0 m/s for 1.0 s then stops and rest at +1.0m for 2.0 s then travels with a constant velocity of -2.0 m/s for 2.0 s and ends at -3.0m from the origin.

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Displacement vs. time Displacement (m) time(s) Describe the motion of the object represented by this graph Starting +2.0m from the origin, the object travels with an unknown positive velocity but a negative acceleration for 3.0s and comes to a stop +4.0m from the origin

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Displacement vs. time Displacement (m) time(s) Describe the motion of the object represented by this graph Negative velocity positive acceleration

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Displacement vs. time Displacement (m) time(s) Describe the motion of the object represented by this graph Negative velocity negative acceleration

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Displacement vs. time Displacement (m) time(s) Describe the motion of the object represented by this graph Positive velocity negative acceleration

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Displacement vs. time Displacement (m) time(s) Describe the motion of the object represented by this graph Positive velocity positive acceleration

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Velocity vs. time Velocity (m/s) time(s) Describe the motion of the object represented by this graph This object is traveling at a constant velocity of +2.0m/s

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Velocity vs. time Velocity (m/s) time(s) Describe the motion of the object represented by this graph Starting from rest, the object accelerates constantly with an acceleration of +2.0 m/s 2 for 3.0 s and ends with a velocity of +6.0 m/s.

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Velocity vs. time Velocity (m/s) time(s) Describe the motion of the object represented by this graph Starting with a velocity of +5.0 m/s, the object has a constant acceleration of -1.25 m/s 2 for 4.0 s and ends at rest.

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Velocity vs. time Velocity(m/s) time(s) Describe the motion of the object represented by this graph Starting with a velocity of -3.0 m/s, the object accelerates constantly at a rate of +1.0m/s 2 for 3 seconds. At this point the object is instantaneously at rest while changing direction and then continues on its acceleration for 3.0 more seconds and ending with a final velocity of +3.0m/s.

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D/t vs. V/t graphs What information can we get from a d/t graph? – Starting position – Final position – Velocity – Direction of motion – Whether or not acceleration is positive or negative, but not the numerical value.

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D/t vs. V/t graphs What information can we get from a v/t graph? – Starting velocity – Final velocity – Instantaneous velocity – Direction of motion – Acceleration (numerical value) – Total displacement

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How do we get displacement from a v/t graph? By finding the area “under” the graph. By finding the area “under” the graph. Velocity(m/s) time(s) The area of the first part is -4.5.0m The area of the second part is +4.5.0m Total area is … (so total displacement is) 0.0 m

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Things to remember Straight line constant slope Straight line constant slope Curved line changing slope Curved line changing slope On a d/t graph, slope is the velocity On a d/t graph, slope is the velocity On a v/t graph, slope is the acceleration On a v/t graph, slope is the acceleration Total displacement on a v/t graph is found by calculating the area “under” the line Total displacement on a v/t graph is found by calculating the area “under” the line On a graph with a curve, the slope at a given point is found by drawing a tangent line and finding its slope. On a graph with a curve, the slope at a given point is found by drawing a tangent line and finding its slope.

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d/t -straight line is constant velocity -horizontal line is constant 0 velocity -curved line is acceleration -slope of line is velocity v/t -horizontal line is constant velocity -straight line is constant acceleration -slope of line is acceleration -displacement is found by reading the area between the line & the x-axis

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Assignment page 60 #1-7

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