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SPEED AND ACCELERATION

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Page 1: Motion-a change in position.  Position- where an object is at a specific time (including direction)  Ex. 7km North of Building A  Distance-interval

SPEED AND ACCELERATION

Page 2: Motion-a change in position.  Position- where an object is at a specific time (including direction)  Ex. 7km North of Building A  Distance-interval

Motion-a change in position. Position- where an object is at a

specific time (including direction) Ex. 7km North of Building A

Distance-interval of length – doesn’t include direction Ex. I walked 14km

An object at rest is a special case of motion in which there is not change in position

Page 3: Motion-a change in position.  Position- where an object is at a specific time (including direction)  Ex. 7km North of Building A  Distance-interval

Speed vs. Velocity Speed-the distance an object travels

over a certain amount of time Speed is the rate of motion without

direction Rate-ratio between two different quantities

(distance/time) Units: m/s or km/hr Formula: Speed =d/t

(speed=distance/time) Constant speed-the speed does not change Instantaneous speed- the speed at a single

instant/moment of time

Page 4: Motion-a change in position.  Position- where an object is at a specific time (including direction)  Ex. 7km North of Building A  Distance-interval

Speed vs. Velocity Velocity – change in position an object

travels over a certain amount of time Velocity includes a component of direction Units: Same as speed Formula: V= Direction can be shown by positive or

negative signs. Moving “forward” is positive Moving “backward” is negative

Direction can be shown by using compass directions Moving 35 mph north.

Page 5: Motion-a change in position.  Position- where an object is at a specific time (including direction)  Ex. 7km North of Building A  Distance-interval

Position Graph

1 2 3 4 50

20

40

60

80

100

120

140

160

Position vs. Time

Time (hours)

Posit

ion

(m

iles)

Page 6: Motion-a change in position.  Position- where an object is at a specific time (including direction)  Ex. 7km North of Building A  Distance-interval

How does graphing fit in?(It’s never going to go away!)

Position vs. Time graphs show where things are at different times which makes it easy to see how things have moved.

EX:

Moving Away Moving to Start Stopped (forward) (backward) (no motion)

P P P

TTT

Page 7: Motion-a change in position.  Position- where an object is at a specific time (including direction)  Ex. 7km North of Building A  Distance-interval

How can the motion of an object be changed? Change how fast it is moving

Speed Up Slow Down

Change direction

*Note: Changing direction changesthe velocity but not the speed.

Changing Motion

Page 8: Motion-a change in position.  Position- where an object is at a specific time (including direction)  Ex. 7km North of Building A  Distance-interval

Keep the graphing coming!!!

Distance vs. Time Graphs - show how long it takes an object to travel over a certain distance Show the motion of objects over a period of time Slope shows how speed changes at different places

T

D DD

TT

Increasing Decreasing Constant

Page 9: Motion-a change in position.  Position- where an object is at a specific time (including direction)  Ex. 7km North of Building A  Distance-interval

Acceleration- the rate at which velocity changes

Formula: a= Example of units on acceleration:

m/s2 or m/s/s

Page 10: Motion-a change in position.  Position- where an object is at a specific time (including direction)  Ex. 7km North of Building A  Distance-interval

Velocity Graph

1 2 3 4 5 60

1

2

3

4

5

6

Velocity vs. Time

Time (seconds)

Velo

cit

y (

m/s

)

Page 11: Motion-a change in position.  Position- where an object is at a specific time (including direction)  Ex. 7km North of Building A  Distance-interval

• Velocity vs. Time Graphs- show how fast an object is traveling at a specific moment of time—Slope shows how an object is accelerating

TTT

V V V

Even more Graphing…….awwww yeah!!!

Positive

Acceleration

Negative

Acceleration

No Acceleration

(constant velocity)

Page 12: Motion-a change in position.  Position- where an object is at a specific time (including direction)  Ex. 7km North of Building A  Distance-interval

Discussion

In a position vs. time graph, what does a negative slope mean?

In a velocity vs. time graph, what does a negative slope mean?