23
Observing Motion

Observing Motion. A.Motion is an object’s change in position relative to a reference point. 1.Displacement is the change in the position of an object

Embed Size (px)

Citation preview

Page 1: Observing Motion. A.Motion is an object’s change in position relative to a reference point. 1.Displacement is the change in the position of an object

Observing MotionObserving Motion

Page 2: Observing Motion. A.Motion is an object’s change in position relative to a reference point. 1.Displacement is the change in the position of an object

A. Motion is an object’s change in position relative to a reference point.1. Displacement is the change in

the position of an object (direction).

A. Motion is an object’s change in position relative to a reference point.1. Displacement is the change in

the position of an object (direction).

Page 3: Observing Motion. A.Motion is an object’s change in position relative to a reference point. 1.Displacement is the change in the position of an object

Describing MotionDescribing Motion1. Choose a destination near your home, such as school, a particular store, or a friend’s house. Write out a set of directions describing how someone would get from your home to the location. 2. Draw a map illustrating the directions you wrote out in Step 1. 3. Was it easier to write out the description or to draw the map? Which method is easier to use to find the location? Explain your answers.

1. Choose a destination near your home, such as school, a particular store, or a friend’s house. Write out a set of directions describing how someone would get from your home to the location. 2. Draw a map illustrating the directions you wrote out in Step 1. 3. Was it easier to write out the description or to draw the map? Which method is easier to use to find the location? Explain your answers.

Page 4: Observing Motion. A.Motion is an object’s change in position relative to a reference point. 1.Displacement is the change in the position of an object

PredictingPredicting

a. Sample answer: Frame of reference may mean the range of distances or area that you are considering in a problem.

b. Frame of reference is a system of objects that are not moving with respect to one another. Frames of reference are important because they are needed to

accurately describe motion.

a. Sample answer: Frame of reference may mean the range of distances or area that you are considering in a problem.

b. Frame of reference is a system of objects that are not moving with respect to one another. Frames of reference are important because they are needed to

accurately describe motion.

Page 5: Observing Motion. A.Motion is an object’s change in position relative to a reference point. 1.Displacement is the change in the position of an object

a) Distance measures a path taken

b) Displacement is the change of an object’s position

c) Displacement must always indicate direction.

a) Distance measures a path taken

b) Displacement is the change of an object’s position

c) Displacement must always indicate direction.

Page 6: Observing Motion. A.Motion is an object’s change in position relative to a reference point. 1.Displacement is the change in the position of an object

Distance: Displacement along a line

Distance: Displacement along a line

Page 7: Observing Motion. A.Motion is an object’s change in position relative to a reference point. 1.Displacement is the change in the position of an object

Distance-Time GraphsThe distance traveled by an object in a period of time often is expressed using a line graph. A line graph visually conveys

information using sets of data points.

Distance-Time GraphsThe distance traveled by an object in a period of time often is expressed using a line graph. A line graph visually conveys

information using sets of data points.

Page 8: Observing Motion. A.Motion is an object’s change in position relative to a reference point. 1.Displacement is the change in the position of an object

Distance-Time GraphsDistance-Time Graphs

1. Copy the blank graph below on your paper. Complete the graph by plotting the given data points on the graph. Each set of data points represents (time, distance). Note that time is measured in seconds and distance is measured in meters. Connect the plotted points with a straight line.

Data points: (0, 0), (2, 40), (4, 80), (6, 120), (8, 160), (10, 200)

2. Describe the motion shown on the graph.

1. Copy the blank graph below on your paper. Complete the graph by plotting the given data points on the graph. Each set of data points represents (time, distance). Note that time is measured in seconds and distance is measured in meters. Connect the plotted points with a straight line.

Data points: (0, 0), (2, 40), (4, 80), (6, 120), (8, 160), (10, 200)

2. Describe the motion shown on the graph.

Page 9: Observing Motion. A.Motion is an object’s change in position relative to a reference point. 1.Displacement is the change in the position of an object

B. Speed & VelocityB. Speed & Velocity

1. Speed is the distance traveled divided by the time interval during which the motion occurred.

Speed describes how fast an object moves.

Speed measurements involve distance & time.

SI units are meters per second (m/s).

1. Speed is the distance traveled divided by the time interval during which the motion occurred.

Speed describes how fast an object moves.

Speed measurements involve distance & time.

SI units are meters per second (m/s).

Page 10: Observing Motion. A.Motion is an object’s change in position relative to a reference point. 1.Displacement is the change in the position of an object

Average Speed/VelocityAverage Speed/Velocity

Distance divided by time

V = D/T

Distance divided by time

V = D/T

Page 11: Observing Motion. A.Motion is an object’s change in position relative to a reference point. 1.Displacement is the change in the position of an object

2. Velocity is the speed of an object in a particular direction.1. Velocity describes both speed

& direction.

2. Velocity is the speed of an object in a particular direction.1. Velocity describes both speed

& direction.

Page 12: Observing Motion. A.Motion is an object’s change in position relative to a reference point. 1.Displacement is the change in the position of an object

Section 11.2 / pg 332Section 11.2 / pg 332

a. Average speed is distance divided by time.

c. Instantaneous speed is different from average speed.

e. Velocity is not the same as speed.

Page 13: Observing Motion. A.Motion is an object’s change in position relative to a reference point. 1.Displacement is the change in the position of an object

b. I could use this to calculate various speeds, like the average speed at which

I travel getting to school.

d. You can’t use a single speedometer reading to determine how long a trip

will take.

f. This could be useful in giving directions or in describing the path

that you take on a walk.

b. I could use this to calculate various speeds, like the average speed at which

I travel getting to school.

d. You can’t use a single speedometer reading to determine how long a trip

will take.

f. This could be useful in giving directions or in describing the path

that you take on a walk.

Page 14: Observing Motion. A.Motion is an object’s change in position relative to a reference point. 1.Displacement is the change in the position of an object

PracticePractice

Metal stakes are sometimes placed in glaciers to help measure a glacier’s movement. For several days in 1936, Alaska’s Black Rapids glacier surged as swiftly as 89 meters per day down the valley. Find the glacier’s velocity in m/s.

Metal stakes are sometimes placed in glaciers to help measure a glacier’s movement. For several days in 1936, Alaska’s Black Rapids glacier surged as swiftly as 89 meters per day down the valley. Find the glacier’s velocity in m/s.

Page 15: Observing Motion. A.Motion is an object’s change in position relative to a reference point. 1.Displacement is the change in the position of an object

List the Given & Unknown ValuesList the Given & Unknown Values Given -

Time, t = 1 dayDisplacement (distance), d = 89 m down the valley

UnknownVelocity, v = ? (m/s and direction)

Given -Time, t = 1 dayDisplacement (distance), d = 89 m down the valley

UnknownVelocity, v = ? (m/s and direction)

Page 16: Observing Motion. A.Motion is an object’s change in position relative to a reference point. 1.Displacement is the change in the position of an object

Perform Any Necessary ConversionsPerform Any Necessary Conversions To find the velocity in meters per second, the value for time must be in seconds:

T = 1 day = 24 hrs. x 60min/1h x 60s/1min

T = 86,400s = 8.46 x 104s

To find the velocity in meters per second, the value for time must be in seconds:

T = 1 day = 24 hrs. x 60min/1h x 60s/1min

T = 86,400s = 8.46 x 104s

Page 17: Observing Motion. A.Motion is an object’s change in position relative to a reference point. 1.Displacement is the change in the position of an object

Write the Equation for SpeedWrite the Equation for Speed Speed = Displacement/time = d/t

Speed = Displacement/time = d/t

Page 18: Observing Motion. A.Motion is an object’s change in position relative to a reference point. 1.Displacement is the change in the position of an object

Insert the Known Values & SolveInsert the Known Values & Solve

V = d/t = 89m/8.64x104sv = 1.0x10-3 m/s down the valley

V = d/t = 89m/8.64x104sv = 1.0x10-3 m/s down the valley

Page 19: Observing Motion. A.Motion is an object’s change in position relative to a reference point. 1.Displacement is the change in the position of an object

Speed-Time GraphsSpeed-Time Graphs

The speed an object travels in a period of time can be expressed on a graph.

This type of graph can give useful information about the object’s motion.

The speed an object travels in a period of time can be expressed on a graph.

This type of graph can give useful information about the object’s motion.

QuickTime™ and a decompressor

are needed to see this picture.

Page 20: Observing Motion. A.Motion is an object’s change in position relative to a reference point. 1.Displacement is the change in the position of an object

1. Describe the speed of the object shown on the graph.

2. The slope of the line on a distance-time graph represents the change in distance (m) per the change in time (s). Thus, the slope of a distance-time graph gives speed (m/s). What information does the slope of a speed-time graph give you?

3. What is the slope of the line on the speed-time graph?

1. Describe the speed of the object shown on the graph.

2. The slope of the line on a distance-time graph represents the change in distance (m) per the change in time (s). Thus, the slope of a distance-time graph gives speed (m/s). What information does the slope of a speed-time graph give you?

3. What is the slope of the line on the speed-time graph?

Page 21: Observing Motion. A.Motion is an object’s change in position relative to a reference point. 1.Displacement is the change in the position of an object

a. speed (or direction) b. direction (or speed)c. m/s2

a. speed (or direction) b. direction (or speed)c. m/s2

Page 22: Observing Motion. A.Motion is an object’s change in position relative to a reference point. 1.Displacement is the change in the position of an object
Page 23: Observing Motion. A.Motion is an object’s change in position relative to a reference point. 1.Displacement is the change in the position of an object