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dd vv Fast constant negative Slow constant negative At rest Getting slower In POS direction Slow positive velocity Same velocity

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dd vv At rest Getting faster In neg direction Fast constant Negative speed Fast constant positive speed Slower const positive speed Back to original Velocity

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10 8 6 4 2 0 -2 -4 -6 -8 -10 -12 DISTANCE 1 2 3 4 5 6 7 8 A. What is the distance? 12 + 10 + 10 + 10 + 6 = 48 m

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10 8 6 4 2 0 -2 -4 -6 -8 -10 -12 DISTANCE 1 2 3 4 5 6 7 8 A. What is the distance? 12 + 10 + 10 + 10 + 6 = 48 m B. What is the displacement? start end + 8 m

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10 8 6 4 2 0 -2 -4 -6 -8 -10 -12 DISTANCE 1 2 3 4 5 6 7 8 A. What is the distance? 12 + 10 + 10 + 10 + 6 = 48 m B. What is the displacement? + 8 m C. What is the velocity at t = 6s? Find slope. It is in a segment of constant speed - so you don’t need to draw a tangent

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10 8 6 4 2 0 -2 -4 -6 -8 -10 -12 DISTANCE 1 2 3 4 5 6 7 8 A. What is the distance? 12 + 10 + 10 + 10 + 6 = 48 m B. What is the displacement? + 8 m C. What is the velocity at t = 6s? Find slope. It is in a segment of constant speed - so you don’t need to draw a tangent (5.5, 8) (7, -10) v = 8 - (-10) 5.5 - 7 18 -1.5 = = -12 m/s

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25 20 15 10 5 0 -5 -10 -15 -20 -25 -30 VELOCITY 1 2 3 4 5 6 7 8 A. What is the distance? 1(20) = 20 2(5) = 10 1 / 2 (.5)(5) = 1.25 1 / 2 (3)(25) = 37.5 1.5(25) = 37.5 20 + 10 + 1.25 + 37.5 + 37.5 = 106 m B. What is the displacement? TOP - BOTTOM 20 + 10 + 1.25 -37.5 - 37.5 = - 44 m C. What is the velocity at t = 6s? Y AXIS MEASURES VELOCITY -20 m/s AREA of rectangle = length x width AREA of triangle = 1/2 base x height

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25 20 15 10 5 0 -5 -10 -15 -20 -25 -30 VELOCITY 1 2 3 4 5 6 7 8 25 20 15 10 5 0 -5 -10 -15 -20 -25 -30 DISTANCE 1 2 3 4 5 6 7 8 (0,25) (2,5) v = 25 - 5 0-2 20 -2 = = -10 m/s Constant -10 m/s for 2 seconds

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25 20 15 10 5 0 -5 -10 -15 -20 -25 -30 VELOCITY 1 2 3 4 5 6 7 8 25 20 15 10 5 0 -5 -10 -15 -20 -25 -30 DISTANCE 1 2 3 4 5 6 7 8 v = 25 - 5 0-2 20 -2 = = -10 m/s Constant -10 m/s for 2 seconds At rest from 4.5 to 6.5 s

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25 20 15 10 5 0 -5 -10 -15 -20 -25 -30 VELOCITY 1 2 3 4 5 6 7 8 25 20 15 10 5 0 -5 -10 -15 -20 -25 -30 DISTANCE 1 2 3 4 5 6 7 8 v = 25 - 5 0-2 20 -2 = = -10 m/s Constant -10 m/s for 2 seconds Gradually changes from -10 m/s to 0 m/s

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25 20 15 10 5 0 -5 -10 -15 -20 -25 -30 VELOCITY 1 2 3 4 5 6 7 8 25 20 15 10 5 0 -5 -10 -15 -20 -25 -30 DISTANCE 1 2 3 4 5 6 7 8 v = 25 - 5 0-2 20 -2 = = -10 m/s Constant -10 m/s for 2 seconds (8, 25) (6.5, -10) v = 25 - (-10) 8 - 6.5 35 1.5 = = 23.3 m/s Constant 23.3 m/s for last 1.5 seconds

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1D Kinematics. Distance Time (DT) Graph Slope of a DT graph gives speed D This is a graph of an object not moving. No slope = No speed T.

1D Kinematics. Distance Time (DT) Graph Slope of a DT graph gives speed D This is a graph of an object not moving. No slope = No speed T.

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