1. Graphs of Motion
G10 Review

2. Look at the cars – what do you notice about their movement?

3. Velocity vs Time graphs
Acceleration is the gradient of a velocity vs time graph.
The displacement (distance travelled) is the area between the line (or curve) and the time axis.
Velocity

4. Discuss what the graphs are telling you about the relative movements of the cars? Link this to the motion recorder shown behind the cars.

5. Discuss what the graphs are telling you about the movement of the ball?

6. Displacement, velocity and acceleration graphsx
The slope of a displacement-time
graph represents velocity t v
The slope of a velocity-time
graph represents acceleration t a t

7. ? ? Graphing position(x), velocity(v), and acceleration(a)
Web Links: Graphing position, velocity & acceleration
Constant position, velocity & acceleration
Examples:
Ex 1) t x a v 2m ?
Ex 2) t x a v 4m 2s ?

8. ? Ex 3) Web Link: More graphing position,velocity,acceleration x t v
12 m/s
“We know the shape of x(t), but how do we find the final position x here? Well, we need the constant acceleration equations…. -> “
3 s
Web Link: More graphing position,velocity,acceleration

9. x
The area under a velocity-time
graph represents displacement. Dx t v
The area under an acceleration-time
graph represents change in velocity. Dv t a Dt t

10. -6 -5 -4 -3 -2 -1 1 1 2 3 4 5 6
Motion in One Dimension (2048)

11. -6 -5 -4 -3 -2 -1 1 1 2 3 4 5 6
Motion in One Dimension (2048)

12. -6 -5 -4 -3 -2 -1 1 1 2 3 4 5 6
Motion in One Dimension (2048)

13. 6 5 4 3 2 1 1 2 4 6 8 10 12 -1 -2 -3 -4 -5 -6
Motion in One Dimension (2048)

14. 6 5 4 3 2 1 1 2 4 6 8 10 12 -1 -2 -3 -4 -5 -6
Motion in One Dimension (2048)

15. 6 5 4 3 2 1 1 2 4 6 8 10 12 -1 -2 -3 -4 -5 -6
Motion in One Dimension (2048)

16. m 6 5 4 3 2 1 1 2 4 6 8 10 12 -1 s -2 -3 -4 -5 -6
Motion in One Dimension (2048)

17. 6 m 4 2 2 4 6 8 10 12 -2 s -4 -6 2 v 1 t 4 8 12
(s) -1
(m/s) -2 -3
Motion in One Dimension (2048)

18. 6 m 4 2 2 4 6 8 10 12 -2 s -4 -6 2 v
+8 m 1
+4 m t 4 8 12
(s) -1
(m/s)
-12 m -2 -3
Motion in One Dimension (2048)

19. 4 8 12 16 20 24 28
(s) x 4 8 12 16 20 24 28
(m) 1 2 3 t 5
Motion in One Dimension (2048)

20. (s) x 4 8 12 16 20 24 28
(m) 1 2 3 t 5 1 2 3 4 5 t
(s) 6 8 10 v
(m/s)
Displacement
25 m
Motion in One Dimension (2048)