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Frame of Reference
Distance
The length of the path between two points.
Displacement
The difference between the original or starting point and the final
or end position.
Vector addition
A boat travels at 150 m due east. It then turns to a heading
and moves 34 m west.
a. What is the distance the boat travelled?
b. What is the displacement of the boat?
184 m
116 m east
A dog runs the following vectors:
120 m due west
Then turns and runs 320 m due east
Then turns and runs for 275 m west again
a. What is the distance the dog travelled?
b. What is the displacement of the dog?
715 m
75 m west
The distance traveled over a given amount of time
V = d / t
m / s
Speed over the entire duration of a trip
Speed at a particular instant in time
Speed
Speed with a direction (Vector)
V = d / t
Constant Speed
V = d / t
d = 50 m
t = 5 s
V = 50m / 5s
v = 10 m/s
V = d / t
V =
d =
t =
?
2,445 m
415 s
V = 2,445 m / 415 s
V = 5.89 m/s towards the sun
V = d / t
V = d / t
V =
d =
t =
?
250,000 meters
18,000 seconds
V = 250,000 / 18,000
V = 13.89 m/s
V = d / t
V = d / t
V =
d =
t =
165 m/s
?
30 seconds
d = 165 m/s x 30 seconds
d = 4,950 meters
d = v x t
• Constant speed
• Away from start
• Constant speed
• Faster than “1”
• Away from start
Stopped
• Constant speed
• Back to start
Stopped
• Constant speed
• Back to start
A girl walking due north at 1 m/s to her classroom
A robot moving at 10 m/s while moving along a curved track
A man walking at 10 m/s in a circular path
A women walking in straight path at 10 m/s
Velocity
Velocity
Velocity
Speed
a. What is the displacement of the person from the initial point
in the two day journey?
3 m East
b. What is the distance travelled by the person from the initial
point in two days?
13 m
9 m East
Captain Hook is on his pirate ship about ready to attack an island. A
fisherman is sitting directly to the side of his boat watching the boat.
The Captain fires a cannonball at 20 m/s towards the island. How fast is
the cannonball moving from the fisherman’s perspective?
20 m/s (towards island)
Captains Hooks boat starts moving at 10 m/s towards the island. If the
Captain fires another shot with his cannon at 20 m/s in the same
direction that the boat is moving, how fast does the cannonball moving
from the same fisherman’s perspective?
30 m/s (towards island)
The Captains boat is still moving at 10 m/s towards the island, but the
Captain turns the cannon around and fires another shot with his cannon
at 20 m/s towards an oncoming boat. How fast is the cannonball moving
from the fisherman’s perspective?
10 m/s (towards boat)
New item for your quizzes
Look at your quiz!!!
Version
“A”
Look at your quiz!!!
Version
“B”
100 Points
4 True/False
8 Matching
38 Multiple Choice
All notes in your packet are fair game!!!
No additional time when the class ends. Manage your time
wisely!!!
No cell phones on quiz day!!!
1st Semester Results
92.6% 6th Period Average
89.3% 5th Period Average
A’s = 29 Students
B’s = 7 Students
C’s = 3 Students
D’s = 0 Students
F’s = 0 Students
Unit 11: Speed/Velocity
Average = 90.9/100 (90.9%)
Test Taken = 39
High: 100 (3 perfect)
Low: 71