Motion and Velocity Displacement in Time and Space Ft. Per Second MPH Meters/Sec.

Work = Force x Distance Machines Produce Work by Transforming Energy or Changing the Direction or Distance Through Which a Force Acts Machines, Mechanisms and Motion are Intimately Related

Motion or Movement is a Change In Position Called Displacement 10 ft. Position A Position B

Speed is the Rate of Displacement 10 ft. Position A Position B 10 0 Seconds

Velocity is the Rate of Displacement in a Specified Direction 10 ft. Position A Position B 10 0 Seconds East South West North

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

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

If You Want to Know the Distance Traveled You Can Rewrite the Equation Like This

Position-Time Graphs Distance in Feet Time in Seconds Describes the Rate of Change in Position of an Object Over Time Distance (ft) Vs. Time (sec.) DistanceTime

Position-Time Graph Distance in Feet Time in Seconds The Slope is Equivalent to the Average Speed Distance (ft) Vs. Time (sec.) Rise Run

Position-Time Graph Distance in Feet Time in Seconds How Fast is this Object Moving? Distance (ft) Vs. Time (sec.) Speed = 20ft/sec. Rise 80 ft. Run 4 sec.

Position-Time Graph Distance in Feet Time in Seconds Distance (ft) Vs. Time (sec.) The Slope of this Line Remains Constant Throughout the Graph The constant slope indicates that the speed of the object remains constant

Position-Time Graph Distance in Feet Time in Seconds The Speed of This Object Changes Over Time Distance (ft) Vs. Time (sec.) B C A = 50 = 5 = 24 ft/sec The Object is Accelerating

Average Speed Time Graphs Speed in ft/second 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

Speed in ft/second 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

Speed in ft/second Time in Seconds Answer: 40 ft/second Average Speed Time Graphs

Speed in ft/second 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

Speed in ft/second 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. Average Speed Time Graphs

Another Difference Between Speed and Velocity Scalar Quantities (One Number) One Gallon Distance Speed (MPH) Voltage Vector Quantities (More Than One Number) 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 DIRECTION and MAGNITUDE One Foot/sec ++ = 3 Feet/sec And You can Add and subtract Them!

The Length of a Vector is Proportional to It’s Magnitude 6 Centimeters 6 MPH A Vector Describing a Velocity of 6 MPH is Drawn With a Length of 6 Units 6 Inches Scaling Vectors

Point B Point C Point A Vectors Can Describe Displacement Total Displacement 12.2 miles North East of the Starting Position 10 miles East 7 miles North The Black Dashed Line is called the Resultant The magnitude of the Resultant Vector is found using the Pythagorean Theorem. B2B2 C2C2 A2A2 A 2 + B 2 = C 2

The End Now…….Get Moving!