This document discusses kinematic equations and graphs that relate displacement, velocity, acceleration, and time. It defines the key kinematic equations that relate the initial and final velocity, acceleration, and time to calculate displacement or vice versa. It also describes different types of displacement-time and velocity-time graphs that illustrate motion under conditions of constant velocity, changing velocity, acceleration, deceleration, and their varying rates of change over time.

1. Kinematics

2. v = u + at

3. v = final speed [m/s]

4. u = initial speed [m/s]

5. a = acceleration
[m/s2]

6. t = time [s]

7. s = ut + (1/2)at2

8. s = distance [m]

9. u = initial speed [m/s]

10. t = time [s]

11. a = acceleration
[m/s2]

12. v2 = u2 + 2as

13. v = final speed [m/s]

14. u = initial speed [m/s]

15. a = acceleration
[m/s2]

16. s = distance [m]

17. displacement-time
graph

18. Stationary; at rest; not
moving
displacement
time

19. Constant velocity;
constant gradient
displacement
time

20. Increasing velocity;
increasing gradient
displacement
time

21. Decreasing velocity;
decreasing gradient
displacement
time

22. distance travelled = d
d
displacement
time

23. velocity-time graph

24. zero velocity; no
acceleration; no gradient
velocity
time

25. constant acceleration;
velocity increasing
velocity
time

26. increasing acceleration;
velocity increasing
velocity
time

27. decreasing acceleration;
velocity increasing
velocity
time

28. constant deceleration;
velocity decreasing
velocity
time

29. increasing deceleration;
velocity decreasing
velocity
time

30. decreasing deceleration;
velocity decreasing
velocity
time

31. Distance travelled = A
velocity
time
A

32. Distance travelled = A + B
velocity
time
A B