1. Linear Kinematics - displacement, velocity and acceleration Contents:
Quandary
New formula
Deriving the rest of the formulas
How to solve these: suvat
Whiteboards

2. A new formula: x = (vi + vf)t 2 x - displacement (m)
vi - initial velocity (m/s)
vf - final velocity (m/s)
a - acceleration (m/s/s)
t - time (s)
x = (vi + vf)t 2
A car goes from 14 m/s to 26 m/s in 10. seconds. How far does it go in this time?
x = (14 m/s + 26 m/s)(10. s) = 200 m = 2.0 x 102 m 2
A person starts from rest and goes 14.5 m in 3.75 s. What is their final velocity?
14.5 m = (0 + vf)(3.75 s), vf = = 7.73 m/s 2

3. Deriving: - 2 more nifty formulas!!
vf = vi + at
x = (vi + vf)t 2
From the first formula:
t = (vf - vi) a
Derive:
vf2 = vi2 + 2ax
x = vit + 1/2at2
when to use which one…
x - displacement (m)
vi - initial velocity (m/s)
vf - final velocity (m/s)
a - acceleration (m/s/s)
t - time (s)
Look at your blue formula sheets!!

4. Whiteboards:
How Far
1 | 2 | 3 | 4

5. show all steps
What distance does a train go if it slows from 32.0 m/s to 5.0 m/s in 135 seconds? X Vi Vf a t
x = ?, vi = 32.0 m/s, vf = 5.0 m/s, t = 135 s
x = (vi + vf)t 2
x = m, 2500 m
2500 m

6. label knowns
Another car with a velocity of 27 m/s stops in a distance of m. What was its acceleration? X Vi Vf a t
x = m, vi = 27 m/s, vf = 0, a = ??, t = ??
vf2 = vi2 + 2ax
a = m/s/s, -9.9 m/s/s
-9.9 m/s/s

7. A car going 12 m/s accelerates at 1. 2 m/s/s for 5. 0 seconds
A car going 12 m/s accelerates at 1.2 m/s/s for 5.0 seconds. What is its displacement during this time? X Vi Vf a t
x = ?, vi= 12 m/s, vf = ??, a = 1.2 m/s/s, t = 5.0 s
x = vit + 1/2at2
x =75 m, 75 m
75 m

8. show two step trick
A cart stops in a distance of 13.8 m in a time of 4.51 s. What was its acceleration? X Vi Vf a t
x = 13.8 m, vf = 0, t = 4.51 s, a =
find vi first, then a
vi = m/s
a = m/s/s
-1.36 m/s/s

9. show two step trick
What time will it take a car going 23 m/s to start with, and accelerating at 3.5 m/s/s, to go 450 m? X Vi Vf a t
x = 450 m, vi = 23 m/s, vf = ??, a = 3.5 m/s/s, t = ??
x = vit + 1/2at2
(Oh Nooooooo!)
OR - use vf2 = vi2 + 2as - find vf, and use vf = vi + at
t = s, 11 s
11 s

10. A car’s brakes slow it at 9. 5 m/s/s. If it stops in 47
A car’s brakes slow it at 9.5 m/s/s. If it stops in 47.3 m, how fast was it going to start with? X Vi Vf a t
x = 47.3 m, vi = ??, vf = 0, a = -9.5 m/s/s, t = ??
vf2 = vi2 + 2as
vi = m/s, 30. m/s
30. m/s

11. A ship slows from 18 m/s to 12 m/s over a distance of 312 m
A ship slows from 18 m/s to 12 m/s over a distance of 312 m. What time did it take? X Vi Vf a t
x = 312 m, vi = 18 m/s, vf = 12 m/s, t = ??
x = (vi + vf)t 2
t =20.8 s, 21 s
21 s

12. Start
Basic Problem Solving
Is it
Bigger than
Your
Mouth?
Yes
Cut it up a bit No
Eat it
Done

13. Start
Basic Problem Solving
Write down given quantities
Are
you done
yet? No
Apply any formula
Yes
Circle the answer