Distance in addition to Displacement Distance in addition to Displacement Delta () Position
Lillien, Lisa, Founder/Editor has reference to this Academic Journal, PHwiki organized this Journal Distance in addition to Displacement Distance in addition to Displacement
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Up or north is toward the top of your paper; can be vertical as well Down or south is toward the bottom of your paper; can be vertical as well Right or East or horizontal Left or West or horizontal Delta () Greek letter used to indicate a change in a quantity Is always calculated by: = final state initial state Example: d = positionfinal positioninital (d = df di ) Position Location of the object at a specific time Positionfinal – Positioninital = displacement
Distance vs. Displacement You drive the path, in addition to your odometer goes up by 8 miles (your distance). Your displacement is the shorter directed distance from start to stop (yellow arrow). What if you drove in a circle start stop Vectors contain in as long as mation about the magnitude (size) in addition to direction of a physical observable. 64 miles Southwest Vectors are typically depicted as arrows drawn with a specific length in addition to pointing in a specific direction. Some examples of vectors .
Example A physics teacher walks 4 meters East, 2 meters South, 4 meters West, in addition to finally 2 meters North. Even though the physics teacher has walked a total distance of 12 meters, her displacement is 0 meters. During the course of her motion, she has “covered 12 meters of ground” (distance = 12 m). Yet, when she is finished walking, she is not “out of place” i.e., there is no displacement as long as her motion (displacement = 0 m). Displacement, being a vector quantity, must give attention to direction. The 4 meters east is canceled by the 4 meters west; in addition to the 2 meters south is canceled by the 2 meters north. Why does it matter Why does one need to underst in addition to in addition to use distance vs displacement Travel Taxis: driver should operate such that distance is as close to displacement as possible otherwise youre being taken on the scenic ( in addition to more expensive) route Directions: a kind local in as long as ming you that the museum youve been searching as long as is only a few blocks from here doesnt help unless they include direction Explanation Evaluation Distance vs. Displacement HO 1.5
Evaluation Distance vs. Displacement Example: Tommy walks from home (0m) to school which is 4.55 m North of his house. What is his displacement d = df di = 4.55m 0m = 4.55 m N or +4.55m
Conclusion Summary of Concepts Distance is the length of the path traveled. Displacement (from dis-place to dat-place) is the length in addition to direction of a line from start to finish. Position is a location relative to a point of reference. Motion is a change in position. Displacement is a vector quantity that contains both magnitude in addition to direction. Explanation “The Traveling Insectum texanum” Distance is the actual length measured of a particular path taken. Displacement is the length in addition to direction of a straight line drawn from the start to finish. Explanation Whats your Vector The most important distinction between distance in addition to displacement is that distance is a scalar in addition to displacement is a vector. Scalars are simple magnitudes. 15 apples 135 miles Vectors contain in as long as mation about the magnitude (size) in addition to direction of a physical observable. 64 miles Southwest
Elaboration Whats your Vector Victor A car travels 6 miles East in addition to then 8 miles North. Determine the distance traveled by the car. Draw in addition to describe the displacement vector of the car. 6 mi E 8 mi N 10 mi 53o N of E So the cars displacement is 10 miles 53o N of E Position- Time Graphs Time goes on X-axis Position (displacement) goes on Y-axis Exploration “The Traveling Insectum texanum” 1. A bug l in addition to s on your board. This is where you will start . Label this point as start. 2. What are the coordinates of this point 3. Plot the movement of the Insectum texanum according to the directions below. After each move mark the arrival point in addition to coordinates, then use that point as long as the next move. a. 2 units north b. 5 units west. c. 3 units north d. 3 units east e. 4 units north f. 6 units east g. Stop .Label finish at this point.
Exploration “The Traveling Insectum texanum” 3. Calculate the length of the path traveled by the Insectum texanum. In other words, determine the total distance the Insectum texanum moved. Record the in as long as mation. 4. Now determine the length of a line directly connecting the start position in addition to the finish position, as the crow flies.” Record this in as long as mation. (hint: use your personal ruler) 5. Which path is longer Explanation “The Traveling Insectum texanum” Physicists use the terms distance in addition to displacement to describe these different measurements. What is Distance What is Displacement Can you create a as long as mula that will allow you to calculate: Distance Displacement Example: A dog is digging up a garden 21 m east of his house. He is scared off by a cat in addition to ends up under a tree 6.5 m east of his house. What is his displacement d = df di = 6.5 m 21m = -14.5 m (or 14.5 m west)
Lillien, Lisa Founder/Editor
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