Science Starter!
1. Describe the motion from:
a) 0s – 4 s
b) 4s – 8s
c) 8s – 12s
2. Find the velocity of the
object from t = 8 s to t = 12 s.
3. What is the total distance
traveled by the object?
4. What is the displacement
of the object?
1. a) 0s – 4 s  STOPPED
b) 4s – 8s  Constant Velocity (FORWARD)
c) 8s – 12s  Constant Velocity (BACKWARD)
2. Find slope:
(10 – 50) m = - 10 m/s
(12-8) s
3. 50 m
4. - 30 m
Analyzing “x vs. t” graphs
1. What is the total distance
traveled by the object from t= 0s
to t = 30 s?
(A) 30 m
(B) 0 m
(C) 20 m
TOTAL = 50 m
2. What is the displacement of
the object from t= 0s to t = 30 s?
t = 0s: object is at 0 m
t = 30s: object is at 10 m
Δ x = x – xo
Δ x = 10 – 0 = + 10 m
Average Speed
On the graph shown, determine the average
speed from t = 0s to t = 30s.
𝑫𝒊𝒔𝒕𝒂𝒏𝒄𝒆
𝑨𝒗𝒆𝒓𝒂𝒈𝒆 𝑺𝒑𝒆𝒆𝒅 =
𝑻𝒊𝒎𝒆
𝟓𝟎 𝒎
𝑨𝒗𝒆𝒓𝒂𝒈𝒆 𝑺𝒑𝒆𝒆𝒅 =
𝟑𝟎 𝒔
𝑨𝒗𝒆𝒓𝒂𝒈𝒆 𝑺𝒑𝒆𝒆𝒅 = 𝟏. 𝟔𝟕
𝒎
𝒔
Average Velocity
On the graph shown, determine the average
speed from t = 0s to t = 30s.
𝑫𝒊𝒔𝒑𝒍𝒂𝒄𝒆𝒎𝒆𝒏𝒕
𝑨𝒗𝒆. 𝑽𝒆𝒍𝒐𝒄𝒊𝒕𝒚 =
𝑻𝒊𝒎𝒆
+ 𝟏𝟎 𝒎
𝑨𝒗𝒆. 𝑽𝒆𝒍𝒐𝒄𝒊𝒕𝒚 =
𝟑𝟎 𝒔
𝑨𝒗𝒆𝒓𝒂𝒈𝒆 𝑽𝒆𝒍𝒐𝒄𝒊𝒕𝒚 = +𝟎. 𝟑𝟑 𝒎
𝒔
Average Velocity (Slope Method)
On the graph shown, determine the average
velocity from t = 0s to t = 30s.
1. Draw a line connecting
the two points.
2. Find the slope of this
line:
(10 – 0) m = + 0.33 m/s
(30 – 0) s
1. Describe the motion depicted in this particle model.
2. Create a data chart and graph the motion shown.
Distance
(m)
0
0
1
2.5
2
7.5
3
17.5
4
32.5
5
55
Particle Model Graph
50
Distance (m)
Time
(s)
40
30
20
10
0
0
1
2 3 4
Time (s)
5
6
Acceleration
Rate at which the velocity of an object changes.
Vector
Symbol: “a”
Unit: m/s2
Key Ideas to Remember
On a “Position vs. Time” graph:
∙ Linear Line: Constant Velocity
- Positive Slope: Moving in (+) Direction (forward)
- Negative Slope: Moving in (-) Direction (backward)
- Zero Slope: Not Moving (stopped)
* Speed: Distance / Time
* Velocity: Displacement / Time
- Average Velocity: Slope between any two points
- Must include either (+) or (-)
∙ Curved Line: Acceleration