Warm Up cm to meters m to km 3. 8,009 g to kg L to mL kg to mg
Introduction to Motion Objective: Know the difference between distance and displacement and speed and velocity
What is motion? Motion: change of the position of an object with respect to time Ouch.
Definition: Total length traveled What distance did the turtle cover?
Definition: change in the position of an object from its beginning point Formula: Δx = x f -x i ΔxΔx xixi xfxf
Displacement = change in position from start Distance = total length traveled What total distance did the turtle cover? What was his displacement?
Displacement Positive displacement: moving up or forward Negative displacement: moving down or backward
Positive or Negative? 2 m 4 m 2 m 4 m
Speed Definition: rate of change in distance with respect to time Formula: speed = distance/time
Definition: rate of change in displacement with respect to time Formula: v avg = x f – x i = displacement = d t f – t i time t Units: length/time Average Velocity
Can be positive or negative Depends on sign of displacement Positive velocity = moving forward Negative velocity = moving backward
Velocity vs. Speed Velocity is a VECTOR quantity, which means it describes motion with both magnitude and direction Rate of change of DISPLACEMENT with respect to time Speed is a SCALAR quantity, which means it has no direction, only magnitude Rate of change of DISTANCE with respect to time Video (Vector) Video (Vector)
The GUESS Method During football practice, Martin and Johnv run 2.7 miles eastward in 25 minutes. How fast were they running? G iven U nknown E quation S ubstitute S olve 2.7 miles = d, 25 minutes = t velocity v = d/t v = 2.7 miles/25 minutes v = miles/min eastward
Homework Textbook Problems p. 62 #2, 5, 6, 26-31
Lab/Activity Intro to Motion Detectors
Exit Question (use GUESS) A turtle walks 2.0 meters forward in 10 minutes. What is the Turtle’s velocity? G U E S