Motion                 and                             Velocity
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Motion and Velocity. Ft. Per Second. Meters/Sec. Displacement in Time and Space. MPH. Machines, Mechanisms and Motion are Intimately Related. Work = Force x Distance.

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Motion and Velocity

Ft. Per Second

Meters/Sec.

Displacement in Time and Space

MPH


Machines, Mechanisms and Motion are Intimately Related Velocity

Work = Force x Distance

Machines Produce Work by Transforming Energy or Changing the Direction or Distance Through Which a Force Acts


Motion or Movement is a Change In Position Called VelocityDisplacement

Position A

10 ft.

Position B


Speed Velocity is the Rate of Displacement

0

10

10 ft.

Seconds

Position A

Position B


Velocity Velocity is the Rate of Displacement in a Specified Direction

0

10

10 ft.

Seconds

Position A

Position B

North

West

East

South


Speed Equations Velocity

An object’s speed is a function of Displacement(change in position) and Time(change in time between positions)


Speed Equations Velocity

A simple and useful version of the Speed Equation Looks Like This


If You Want to Know the Distance Traveled Velocity

You Can Rewrite the Equation Like This


200 Velocity

160

Time

120

Distance in Feet

80

40

0 1 2 3 4 5 6 7 8 9

Time in Seconds

Position-Time Graphs

Distance (ft) Vs. Time (sec.)

Distance

1

20

2

40

3

60

4

80

5

100

6

120

7

140

8

160

9

180

Describes the Rate of Change in Position of an Object Over Time


200 Velocity

160

120

Distance in Feet

80

40

0 1 2 3 4 5 6 7 8 9

Time in Seconds

Position-Time Graph

Distance (ft) Vs. Time (sec.)

Rise

Run

The Slope is Equivalent to the Average Speed


200 Velocity

160

120

Distance in Feet

80

40

0 1 2 3 4 5 6 7 8 9

Time in Seconds

Position-Time Graph

Distance (ft) Vs. Time (sec.)

Rise 80 ft.

Run 4 sec.

Speed = 20ft/sec.

How Fast is this Object Moving?


200 Velocity

160

120

Distance in Feet

80

40

0 1 2 3 4 5 6 7 8 9

Time in Seconds

Position-Time Graph

Distance (ft) Vs. Time (sec.)

The constant slope indicates that the speed of the object remains constant

The Slope of this Line Remains Constant Throughout the Graph


200 Velocity

160

120

Distance in Feet

80

40

0 1 2 3 4 5 6 7 8 9

Time in Seconds

Position-Time Graph

Distance (ft) Vs. Time (sec.)

The Speed of This Object Changes Over Time

C

B

The Object is Accelerating

A

Speed @A = 5 ft/sec

Speed @B = 24 ft/sec

Speed @C = 50 ft/sec


Average Speed Time Graphs Velocity

50

40

30

Speed in ft/second

20

10

0 1 2 3 4 5 6 7 8 9

Time in Seconds

Describes the speed of an object at specific times and the total displacement but NOT the Direction

Study this graph and answer the questions that follow


Average Speed Time Graphs Velocity

50

40

30

Speed in ft/second

20

10

0 1 2 3 4 5 6 7 8 9

Time in Seconds

How fast was this thing moving, 5 Seconds after it began to move?

Hint: It began moving after 1 second


Average Speed Time Graphs Velocity

50

40

30

Speed in ft/second

20

10

0 1 2 3 4 5 6 7 8 9

Time in Seconds

Answer: 40 ft/second


Average Speed Time Graphs Velocity

50

40

30

Speed in ft/second

20

10

0 1 2 3 4 5 6 7 8 9

Time in Seconds

What was the total Displacement of this thing?

How far did the thing go during the whole trip?


Average Speed Time Graphs Velocity

50

40

30

Speed in ft/second

20

10

0 1 2 3 4 5 6 7 8 9

Time in Seconds

Answer: This Thing Traveled a total of 175 Feet

Distance = Speed x Time. Therefore the total distance is the sum of the areas of each of the 5 rectangles! Try it….It works.


Another Difference Between VelocitySpeed and Velocity

Scalar Quantities (One Number)

Vector Quantities (More Than One Number)

One Gallon

Distance

Speed (MPH)

Voltage

Machine Screw Specification(tpi,length,diameter,head style)

Pant Sizes(Waist and Length)

Velocity (Speed and Direction)

Velocity is a Vector Quantity

Speed is a Scalar Quantity


Vectors Graphically Describe VelocityDIRECTION and MAGNITUDE

+

+

=

One Foot/sec

One Foot/sec

One Foot/sec

3 Feet/sec

And You can Add and subtract Them!


Scaling Vectors Velocity

6 MPH

6 Inches

6 Centimeters

A Vector Describing a Velocity of 6 MPH is Drawn With a Length of 6 Units

The Length of a Vector is Proportional to It’s Magnitude


B Velocity2

A2

C2

Vectors Can Describe Displacement

10 miles East

Point C

Point B

Total Displacement

12.2 miles North East of the Starting Position

7 miles North

The Black Dashed Line is called the Resultant

Point A

The magnitude of the Resultant Vector is found using the Pythagorean Theorem.

A2 + B2 = C2


Now…….Get Moving! Velocity

The End


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