Distance Vs. Distance Vs. Displacement Vs. Displacement Vs. PositionPosition

Biniyam Melesse,Biniyam Melesse,

Ousman BaOusman Ba

& Alba Reyes& Alba Reyes

DistanceDistance

In physics the definition of distance In physics the definition of distance is how far you travel. Distance is is how far you travel. Distance is also a vector because you can also a vector because you can direct which way you travel (ex direct which way you travel (ex N,E,W,S.). Example if Ousman N,E,W,S.). Example if Ousman walks 300 meters from his house to walks 300 meters from his house to his friend bob’s house his total his friend bob’s house his total distance is 300 metersdistance is 300 meters

displacementdisplacement

Is the difference in position from Is the difference in position from your initial position and final your initial position and final position. Displacement tells you position. Displacement tells you far you are in the x an y direction. far you are in the x an y direction. For example if I were to walk 10m For example if I were to walk 10m east and 10m north that makes east and 10m north that makes my displacement 10mx+10mymy displacement 10mx+10my

positionposition

Position is the location of an Position is the location of an object in with respect to the object in with respect to the origin. Example if I were to walk \ origin. Example if I were to walk \ 10 meters in the x direction 10 10 meters in the x direction 10 meters in the y and then 10 meters in the y and then 10 meters in the –x direction then meters in the –x direction then the position would be 10ythe position would be 10y

A quarterback runs a play to the A quarterback runs a play to the running back from the 20 yard line, the running back from the 20 yard line, the running back runs the ball 20 yards in running back runs the ball 20 yards in the x until the linebacker comes at him, the x until the linebacker comes at him, which puts him in a position that no which puts him in a position that no options but to cut up for 10 yards in the options but to cut up for 10 yards in the y. And then gets stopped right there by y. And then gets stopped right there by the corner.the corner.

DistanceDistance

The distance the running back The distance the running back traveled was 30 yards he ran traveled was 30 yards he ran forward 20 and went up 10 forward 20 and went up 10 running a total distance of 30 running a total distance of 30 yardsyards

DisplacementDisplacement

The running backs displacement The running backs displacement is how far he got from his initial is how far he got from his initial position at the 20 yard line. The position at the 20 yard line. The running back ran 20yards in the x running back ran 20yards in the x and 10 yards in the y.and 10 yards in the y.

Which makes his total Which makes his total displacement about 20x+10ydisplacement about 20x+10y

positionposition

Since he traveled 20in the x and Since he traveled 20in the x and 10 in the y his total position is 10 in the y his total position is 20x and 10y or 10y and 20x20x and 10y or 10y and 20x

total distance of 30 yardstotal distance of 30 yards total displacement about 20x+10ytotal displacement about 20x+10y total position is 20x and 10y or 10y total position is 20x and 10y or 10y

and 20xand 20x

Heres another one a quarter back Heres another one a quarter back gets the ball at the 20 yard line he gets the ball at the 20 yard line he decides to go for a deep pass and decides to go for a deep pass and throws it for 50 yards. The ball is throws it for 50 yards. The ball is intercepted and ran back for a touch intercepted and ran back for a touch downdown

Distance Distance

The distance that the ball The distance that the ball traveled was 50 yards in the x traveled was 50 yards in the x and another 70 in the -x all the and another 70 in the -x all the way to a touchdown so a total of way to a touchdown so a total of 120 yards traveled 50 in the x 120 yards traveled 50 in the x and 70 in the -xand 70 in the -x

displacementdisplacement

The displacement of the ball is 50 The displacement of the ball is 50 yards in the X and another 70 in yards in the X and another 70 in the negative –x the negative –x

50x+(-70x)=-20x50x+(-70x)=-20x

Position Position

The position of the ball is 50 The position of the ball is 50 yards in the x and another 70 in yards in the x and another 70 in –x so if you add them up the –x so if you add them up the position would be -20xposition would be -20x

DistanceDistance 120 yards120 yards

DisplacementDisplacement 50x+(-70x)=-20x50x+(-70x)=-20x

PositionPosition -20x-20x