1. Graphical Analysis of motion in _________________ one direction
Distance and
displacement. 20
d (m) 10
t (s) 5 10 15
What is the total distance moved?
= 30 m
What is the resultant displacement?
+10 m
Find the average speed in the 0-5 s interval.
Repeat for 5-10 s and s.
20 m
5 s
0 m ,
10 m
5 s
5 s

2. II. Uniform motion – ____________ is constant
velocity
A. Graph of d vs. t
speed v
slope =_____
d/t
= ________
slope =______________
constant
speed = _______________
constant A d
same t
________d in each _____
What would the graph of a
slower object look like? B
Slower  less slope t 1 2
How much slower is B?
half the speed of A

3. B. Graph of speed __________ for uniform motion
v vs. t
slope =______
Dv/t
slope =______ a v A
slope =________________
constant = 0
a =_________ B
What about B? t
B is slower  lower
What does the area shown represent?
speed x time
distance
area = L x W = _____________ =_____________
[m/s]
[s]
[m]
units: ______ x ______ = _________

4. a
C. Graph of a vs. t
for uniform motion
a = 0
a = 0 t
How would you graph B?
Same.
In review: for __________________ Motion:
Uniform A d v a A B B
a = 0 t t t

5. Ex: tape timers
timer marks the tape at constant ________ intervals
time
cart pulls tape
________________
through timer
paper
tape
constant v
timer
As car moves, describe pattern of marks on tape.
_____________ spaced b/c car moves the
__________ d between each mark.
Equally
same
How would tape look if car was twice as fast?

6. III. Non-uniform motion: ___________________
acceleration
constant (non-0)
A. Graph of d vs. t for object beginning at rest
slope of tangent is the
______________________ d
instantaneous v
initial
________speed vi = ___
 __________________ 2
slope = 0 at t = 0
increases
The slope ___________ 1
b/c speed v ___________
increases t
more
dashed lines
are__________
Object covers ________ d
in each________________
tangents
t interval

7. Graph of speed v vs. t for __________________
acceleration a beginning _______________ .
constant (non-0)
at rest
slope =________
Dv/t v
accel. a
= __________
constant ≠ 0
slope = _______________ t
a = ______________
constant
What does the area shown represent?
distance
area = (1/2) bh = (½) ______________=__________
time x speed
[s]
[m/s]
[m]
units : ______ x ______ = ______

8. C. Graph of a vs. t
for constant a a
a = constant t
In review:
For _________________________acceleration
constant, non-zero v d a t t t

9. Timer tape for ___________________ constant a
Ex:
Timer tape for ___________________
constant a
paper
tape
cart
constant a
timer
As car moves, describe pattern of marks on tape.
Un-equally
more
_______________ spaced b/c car moves _________
distance d between each mark.
How would tape look if car had more acceleration?

10. Compare ____________ to ________________motion:
uniform
accelerated
Compare ____________ to ________________motion: d v a
Uniform
area = d t t t
slope = v
slope = a v a d
area
= d
Accel. t t t

11. What is the total distance traveled?
d (m)
Ex. Answer the
questions based
on the graph at
right. 4
t (s) 2 4 6 -8
What is the total distance traveled?
= 20 m
What is the resultant displacement?
+4 m
Find the average speed in the first 2 s.
Find the average speed over the entire 6 s.
Find the average velocity over the entire 6 s.
8 m
2 s
20 m
6 s
+4 m
6 s

12. Find vavg, d, and a in regions A, B and C.
Ex: The graph below describes a UFO moving in a
straight line.
t (s) v
(m/s)
4.0
8.0 12
20.
40. A B C
Find vavg, d, and a in regions A, B and C.

13. In A:
v = vi + vf 2
= (20. m/s m/s) / 2
= 30. m/s
v = d/t
d = v t
= (30. m/s)(4.0 s)
= 120 m
= area in A
a = Δv/t
= (vf – vi)/t
= (40. m/s – 20. m/s) / 4.0 s
= 5.0 m/s/ s
= 5.0 m/s2

14. In B:
v = vi + vf 2
= ( ) / 2
= 40. m/s
v = d/t
d = v t
= (40. m/s)(6.0 s)
= 240 m
= area in B
a = Δv/t
= (vf – vi)/t
= (40. m/s – 40. m/s) / 6.0 s
= 0

15. In C:
v =
( ) / 2
= 20. m/s
d = v t
= (20. m/s)(2.0 s)
= 40. m
= area in ΔC: ½bh
a = Δv/t
= (vf – vi)/t
= (0 m/s – 40. m/s) / 2.0 s
= m/s2

16. v
(m/s)
20.
40. A B C
120 m
240 m
40 m
8.0 12
t (s)
4.0
= v
Which area, A, B or C, is uniform motion?
area = d
a= slope
Which area, A, B or C, is the acceleration
constant, but not zero?
Where is the acceleration NOT constant?