(a) Which way it the person walking (forwards or backwards) during the following time intervals? i. O to 6 s? ii. 6 to 8 s? iii. 8 to 12 s? iv. O to 12 s? (b) What distance does the person travel from: i. O to 6 s? ii. 6 to 8 s? iii. 8 to 12 s? iv. O to 12 s? (c) What is the person's displacement from: i. O to 6 s? ii. 6 to 8 s? iii. 8 to 12 s? iv. O to 12 s? Speed and Velocity We also want to know how fast an object is moving and the direction it is headed. For one dimensional motion we define the following quantities for such descriptions:

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A Read aloud Draw
く
POGIL: Velocity and Displacement
Position, Distance and Displacement
To answer the question "How do things move?", we often want to know where an object is located and
how far it is from its initial location. For one dimensional motion, we define the following quantities for such
descriptions:
• position – identifies where the object is located relative to a reference point on a line, called the origin. If the
object is to the right of the origin, the position is given as a positive distance from the origin. If the object is to
the left of the origin, the position is given as a negative distance from the origin.
A
-4 m -3 m -2 m I m.
Im
2 m 3 m
4 m
For example:
• point A is 2 m to the left of the origin and therefore has a position of x = -2m
• point B is 1 m to the right of the origin; it has a position of x = +1 m
• point C is 2.5 m to the right of the origin; it has a position of +2.5 m.
• distance - how far an object traveled. This does not matter which way an object goes. If you take a tape
measure and measure the path in which an object travels, then this measurement would be the distance.
• isplacement – the change in an object's position. It gives the distance between the initial and final positions
of an object's motion AND the direction from the initial to final point. If the final position is to the right of the
initial position, then the displacement is positive; if the final position is to the left of the initial position, then the
displacement is negative.
1. The position vs. time graph below describes the motion of a person walking.
25
20
15
10
2
4-
8
10
12.
time (s)
postion (m)
Transcribed Image Text:A Read aloud Draw く POGIL: Velocity and Displacement Position, Distance and Displacement To answer the question "How do things move?", we often want to know where an object is located and how far it is from its initial location. For one dimensional motion, we define the following quantities for such descriptions: • position – identifies where the object is located relative to a reference point on a line, called the origin. If the object is to the right of the origin, the position is given as a positive distance from the origin. If the object is to the left of the origin, the position is given as a negative distance from the origin. A -4 m -3 m -2 m I m. Im 2 m 3 m 4 m For example: • point A is 2 m to the left of the origin and therefore has a position of x = -2m • point B is 1 m to the right of the origin; it has a position of x = +1 m • point C is 2.5 m to the right of the origin; it has a position of +2.5 m. • distance - how far an object traveled. This does not matter which way an object goes. If you take a tape measure and measure the path in which an object travels, then this measurement would be the distance. • isplacement – the change in an object's position. It gives the distance between the initial and final positions of an object's motion AND the direction from the initial to final point. If the final position is to the right of the initial position, then the displacement is positive; if the final position is to the left of the initial position, then the displacement is negative. 1. The position vs. time graph below describes the motion of a person walking. 25 20 15 10 2 4- 8 10 12. time (s) postion (m)
A Read aloud Draw
(a) Which way it the person walking (forwards or backwards) during the following time intervals?
i. O to 6 s?
ii. 6 to 8 s?
iii. 8 to 12 s?
iv. O to 12 s?
(b) What distance does the person travel from:
i. O to 6 s?
ii. 6 to 8 s?
iii. 8 to 12 s?
iv. O to 12 s?
(c) What is the person's displacement from:
i. O to 6 s?
ii. 6 to 8 s?
ii. 8 to 12 s?
iv. O to 12 s?
Speed and Velocity
We also want to know how fast an object is moving and the direction it is headed. For one dimensional
motion, we define the following quantities for such descriptions:
• instantaneous speed - how fast an object is moving at one moment in time
• instantaneous velocity - how fast an object is moving at one moment in time and as well as the
direction it is moving. In one dimension, this is simply expressed by a positive value if the object is
moving in the positive direction (i.e. forward, right, up) and a negative value if the object is moving in
the negative direction (i.e backwards, left, down).
• average speed - the distance traveled by an object during its motion within the time of its motion.
* average velocity-the displacement traveled by an object during its motion within the time of its
motion.
Calculating Speed and Velocity
average speed: s =", where d is the distance traveled by an object during its motion and t is the time of its
motion. It is the average of all the instantaneous speeds during an object's motion. This can also be found by
taking the absolute value of the slope of a position vs time graph.
• average velocity v = where Ax is the displacement during an object's motion and At is the time of its the
motion. It is the average of all the Instantaneous velocities during an object's motion. This can also be found by
taking the slope of a position vs time graph.
Ax
Transcribed Image Text:A Read aloud Draw (a) Which way it the person walking (forwards or backwards) during the following time intervals? i. O to 6 s? ii. 6 to 8 s? iii. 8 to 12 s? iv. O to 12 s? (b) What distance does the person travel from: i. O to 6 s? ii. 6 to 8 s? iii. 8 to 12 s? iv. O to 12 s? (c) What is the person's displacement from: i. O to 6 s? ii. 6 to 8 s? ii. 8 to 12 s? iv. O to 12 s? Speed and Velocity We also want to know how fast an object is moving and the direction it is headed. For one dimensional motion, we define the following quantities for such descriptions: • instantaneous speed - how fast an object is moving at one moment in time • instantaneous velocity - how fast an object is moving at one moment in time and as well as the direction it is moving. In one dimension, this is simply expressed by a positive value if the object is moving in the positive direction (i.e. forward, right, up) and a negative value if the object is moving in the negative direction (i.e backwards, left, down). • average speed - the distance traveled by an object during its motion within the time of its motion. * average velocity-the displacement traveled by an object during its motion within the time of its motion. Calculating Speed and Velocity average speed: s =", where d is the distance traveled by an object during its motion and t is the time of its motion. It is the average of all the instantaneous speeds during an object's motion. This can also be found by taking the absolute value of the slope of a position vs time graph. • average velocity v = where Ax is the displacement during an object's motion and At is the time of its the motion. It is the average of all the Instantaneous velocities during an object's motion. This can also be found by taking the slope of a position vs time graph. Ax
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