1. Understand velocity time graphs.
03/01/2019
WALT:
Understand velocity time graphs.

2. Interpreting speed-time graphs
Move the points to change the graph and ask pupils to interpret it. For example, ask pupils to calculate the acceleration and distance travelled over various stages in the journey.
Ask pupils to find the total distance travelled by finding the area under the graph.
Ask pupils to make up a story for a given graph.

3. Diagonally Up
Constant Acceleration
Horizontal
Constant speed
Diagonally Down
Constant Deceleration
Gradient
This is the acceleration of the object.
Area under the graph
This is the distance travelled by the object.
Velocity
time

4. Describe this journey. Constant velocity of 4 m/s
Time s
Velocity m/s
Describe this journey.
Constant velocity of 4 m/s
Distance travelled = 10 x 4
= 40 m

5. Accelerating accel = 10 4 = 2.5 m/s2 Distance = ½ x 4 x 10 = 20 m 10 4
Time s
Velocity m/s
Accelerating
accel = 10 4
= 2.5 m/s2
Distance = ½ x 4 x 10
= 20 m 10 4

6. 6 Decelerating decel = 9 6 = 1.5 m/s2 Distance = ½ x 6 x 9 = 27 m 9
Time s
Velocity m/s 6
Decelerating
decel = 9 6
= 1.5 m/s2
Distance = ½ x 6 x 9
= 27 m 9

7. Constant speed of 6 m/s for 6 seconds, then decelerating
Time s
Velocity m/s
Constant speed of 6 m/s for 6 seconds, then decelerating
decel = 6 3
= 2 m/s2 3 6
Distance = area
=½ x (6 + 9) x 6
= 45 m

8. Constant speed of 2 m/s for 4 seconds then accelerating
Time s
Velocity m/s
Constant speed of 2 m/s for 4 seconds then accelerating
Distance = rectangle + triangle
= 10 x ½ x 6 x 6 =
= 38 m
accel = 6 6
= 1 m/s2 6 6

9. Time s
Velocity m/s
Accelerate for 4 seconds, then constant speed of 8 m/s for 4 seconds then decelerating
accel
= 8 4
= 2 m/s2 2
decel
= 8 2
= 4 m/s2 8 8
Distance
= area
= ½ x (4 + 10) x 8
= 56 m 4

10. Time s
Velocity m/s
Accelerate for 2 seconds, then constant speed of 6 m/s for 2 seconds then decelerating
accel
= 6 2
= 3 m/s2
decel
= 6 3
= 2 m/s2 3
Distance
= area of trap
= ½ x (2 + 7) x 6
= 27 m 6 6 2

11. Time s
Velocity m/s
Accelerate for 4 seconds, then constant speed of 2 m/s for 2 seconds then accelerating for 4 seconds
Distance
= Tri + rect + tri =
= 32 m
accel
= 8 4
= 2 m/s2 8
accel
= 2 4
= 0.5 m/s2 4 2 4

12. Time s
Velocity m/s
Decelerate for 2 seconds, then constant speed of 6 m/s for 2 seconds then decelerating for 6 seconds 2
decel
= 4 2
= 2 m/s2 4 6
decel
= 6 6
= 1 m/s2
Distance
= Tri + rect + tri =
= 46 m 6

13. Time s
Velocity m/s
Draw a graph:
An object moving with a constant velocity of 2 m/s

14. Time s
Velocity m/s
Draw a graph:
An object moving with a constant acceleration of 1 m/s2

15. Time s
Velocity m/s
Draw a graph:
An object moving with a constant acceleration of 1 m/s2

16. Time s
Velocity m/s
Draw a graph:
An object moving with a constant deceleration of 0.5 m/s2

17. Time s
Velocity m/s
Draw a graph:
An object moving with a constant deceleration of 0.5 m/s2

18. Time s
Velocity m/s
Draw a graph:
An object moving with a constant acceleration of 3 m/s2

19. Time s
Velocity m/s
Draw a graph:
An object moving with a constant acceleration of 3 m/s2

20. Time s
Velocity m/s
Draw a graph:
An object moving with a constant deceleration of 4 m/s2

21. Time s
Velocity m/s
Draw a graph:
An object moving with a constant deceleration of 4 m/s2

22. Time s
Velocity m/s
Draw a graph:
An object moving with a constant acceleration of 1 m/s2
for 4 seconds and then travelling at a constant velocity.

23. Time s
Velocity m/s
Draw a graph:
An object moving with a constant acceleration of 1 m/s2
for 4 seconds and then travelling at a constant velocity.

24. Time s
Velocity m/s
Draw a graph:
An object moving with a constant acceleration of 2 m/s2
for 3 seconds and then travelling at a constant velocity.

25. Time s
Velocity m/s
Draw a graph:
An object moving with a constant acceleration of 2 m/s2
for 3 seconds and then travelling at a constant velocity.

26. Time s
Velocity m/s
Draw a graph:
An object moving with a constant acceleration of 0.5 m/s2
for 6 seconds and then travelling at a constant velocity.

27. Time s
Velocity m/s
Draw a graph:
An object moving with a constant acceleration of 0.5 m/s2
for 6 seconds and then travelling at a constant velocity.

28. Time s
Velocity m/s
Draw a graph:
An object moving with a constant velocity of 8 m/s for 3 seconds then decelerates at 2 m/s2 until it stops.

29. Classwork
Worksheet