1. Velocity Acceleration AND

2. Changing velocities means it is NON-uniform motion - this means the object is accelerating. m/s 2 m/s /s OR = ∆t∆t ∆v∆v a P(m) t(s)

3. Keywords Average velocity Instantaneous velocity

4. POSITION (m) TIME (s) 10 20 30 40 50 5 10 1520 25 0 0 v = 2 m/s [E] v = - 15 17.5 - 7.5 Uniform motion - average velocity is the same as instantaneous velocity on a P-T graph. Instantaneous velocity is the velocity of an object at a specific instant in time. 35 - 0 25 - 0 50

5. POSITION (m) TIME (s) 10 20 30 40 50 5 10 1520 25 0 0 To find velocity for a specific time, you must estimate by making a straight line at that point. Slope of this line gives instantaneous velocity for that specific time on the curve.

6. POSITION (m) TIME (s) 10 20 30 40 50 5 10 1520 25 0 0 A P-T graph with a changing slope means motion with changing velocity (non-uniform / acceleration) v = + 2 m/s v = + 5 m/s

7. Acceleration and non-uniform motion

8. Origin - + P(m) T(s) P - T Graph + slope Positive (+) Straight line Moderate slope Moving to the right Uniform (+) velocity Slow velocity

9. Origin - + P(m) T(s) P - T Graph + ↑ slope Positive (+) Increasing slope Moving to the RIGHT Increasing (+) velocity (+) Acceleration

10. Origin - + - ↑ slope P(m) T(s) P - T Graph d1d1 d2d2 Negative (-) Increasing slope Moving to the LEFT Increasing (-) velocity (-) Acceleration

11. Origin - + + ↓ slope P(m) T(s) P - T Graph d2d2 d1d1 Positive (+) Decreasing slope Moving to the RIGHT Decreasing (+) velocity (-) Acceleration

12. Origin - + - ↓ slope P(m) T(s) P - T Graph d1d1 d2d2 Negative (-) Decreasing slope Moving to the LEFT Decreasing (-) velocity (+) Acceleration

13. The Sign of Acceleration

14. Velocity and Acceleration have SAME sign: object is SPEEDING UP Velocity and Acceleration have OPPOSITE sign: object is SLOWING DOWN

15.  Acceleration is calculated as the change in velocity over the change in time.  Acceleration has units of distance/time/time such as m/s/s (m/s 2 )  Acceleration is a vector quantity.

16. Motion is described in words. Motion is described with a (data) table of values. Motion is described with a graph. Motion is describe with equations. The study of motion (Kinematics) involves: Position, Velocity, Acceleration