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B. Interpreting
Motion Diagrams
Acceleration Review
Acceleration
- the time rate of change in velocity
a =
∆V/∆t = (Vf
- Vi)/t
- constant change
in velocity per unit time
Which data shows uniform acceleration? Why?
|
time (sec) |
Velocity
(m/s) |
|
0 |
5 |
|
1 |
7 |
|
2 |
9 |
|
3 |
11 |
|
4 |
13 |
|
|
time (sec) |
Velocity (m/s) |
| 0 |
5 |
|
1 |
10 |
| 2 |
14 |
|
3 |
20 |
|
4 |
30 |
|
Left Data Shows Constant
Acceleration
a = ?
a = 2 m/s2

Describe the motion
Ex)

Step 1 - y changes?
Step 2 - Slope = ∆y/∆x =
Answers
Step 1 - y changes: - Velocity is
increasing
Step 2 - Slope
= ∆V/∆t
= a
acceleration is constant +

Prove this is constant acceleration

Every 2 seconds
the object gains
exactly 15 m/s |
Find the
acceleration
a = ∆V/∆t
(15 m/s)/2 sec
a = 7.5 m/s2
Slope of a V vs. t plot
Slope = ∆y/∆x
= ∆V/∆t = a
Ex)
Describe motion using
y axis and slope

Step 1:
y axis:
Step 2:
Slope
Answers
Step 1:
y axis: V constant
Step 2:
Slope = ∆V/∆t
= a
a = 0


Ex) Largest acceleration?

January 2001 Regents
D - greatest slope

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Ex 4)

Step 1:
y axis:
Step 2:
Slope
Answers
Velocity is Decreasing,
Acceleration
is
constant, negative
Calculate the acceleration

a = (Vf-
Vi)/t
(15 m/s - 45 m/s )
(8 sec - 2 sec)
= -5 m/s2
Ex 5) Describe the motions
Velocity
(m/s)
|
|
Step 1:
y axis:
Step 2:
Slope
Answers
Step 1: y axis: V increasing
Step 2:
Slope = ∆V/∆t
= a
a is increasing
Ex) Describe the motions
Step 1:
y axis:
Step 2:
Slope
Step 1:
y axis: d increasing
Step 2:
Slope = d/t = V
Velocity is increasing smoothly
Acceleration is constant &
Positive
Non-Uniform Acceleration

Ex) Describe motions 
Step 1:
y axis:
Step 2:
Slope
Step 1:
y axis: d increasing
Step 2:
Slope = d/t = v
Velocity is Decreasing smoothly
(slope)
Acceleration is
constant & negative

Describe motions
d (cm)

Step 1:
y axis:
Step 2:
Slope
Step 1:
y axis: d constant
Step 2:
Slope = d/t = v
v = 0 (slope)
a = 0

Analyzing Motion Plots
St. Mary's H.S.

Summary 

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Use any material on this site (w/ attribution)
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