1. 3.2 Motion With Constant Acceleration

2. 3.2 Motion with Constant Acceleration
If you know average acceleration (ā) during a time interval, you can find Δv.
ā = Δv/Δt  Δv = ā·Δt  vf – vi=āΔt vf=vi + āΔt
NOTE: if acceleration is constant; ā = a

3. 3.2 Motion with Constant Acceleration
vf=vi + āΔt (is the equation we just found)
Can you rearrange the above equation to find time?
Δt = (vf – vi)/a

4. Practice Problems 18a

5. Practice Problem 18b

6. Practice Problem 18c

7. Practice Problem 19

8. Practice Problem 20

9. Practice Problem 21

10. Position with Constant Acceleration
Look at table 3-2; it is a position vs. time graph; the curved line shows it is accelerating. We can use the slopes from position/time graph to create a velocity vs. time graph

11. Position with Constant Acceleration
However…a position vs. time graph cannot be created from velocity vs. time graph because there is no information about position, but it DOES tell information about displacement
RECALL… v = Δd/Δt …therefore… Δd = vΔt

12. Picture of Velocity vs. time graph
Area under a line = Δd = vΔt
Therefore…area = the object’s displacement

13. Example Problem #3

14. Problem 22a

15. Problem 23

16. More Displacement…