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

3. 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

4. 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

5. 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

6. 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

7. 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

8. 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

9. 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

10. 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

11. 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

12. 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