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

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

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

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

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

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

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

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

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

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

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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