Pptg101213 Motion Gallego

Describing Motion |Graphing Motion |Problems Related to Motion

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Motion

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What is your speed from house to school?

Do you have the same speed from school to house?

Motion

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What is your average speed?

Motion

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total distance traveled

total time of travel =

Distance (within the trip)

total time to cover that distance =

sum of speeds

number of speeds added =

Motion

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Calculate the average speed and the instantaneous speeds at t=1, t=2 and t=3.

Motion

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Calculate the average velocity and the instantaneous velocities at t=1, t=2 and t=3.

Problem Solving (Related to Motion)

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Punzy’s home is 10km away from his school. Every morning, he rides jeeney with his friends and travel for 15 minutes. What is the average speed of Punzy’s jeepney?


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Johnny the Walker walks from his house to his farm 150 meters away in 10 min. Calculate his speed in m/s. At this speed, how long will it take him to cover 1 km?


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Wind Airlines travels from Chimp Island to Bulbagaga that are 600km apart. The plane travels at the speed of 450km/h. If it leaves the Chimp Island at 3:00pm, what time will it arrive in Bulbagaga?


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Woogie Boogie has been running for 2 hours and 15 minutes at a maintained speed of 30 kilometer per hour. How far has he covered?


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A student drives 4.8-km trip to school and averages a speed of 22.6 m/s. On the return trip home, the student travels with an average speed of 16.8 m/s over the same distance. What is the average speed (in m/s) of the student for the two-way trip?


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One car traveling at 30 kph and another car traveling at 40 kph left from the same place at the same time and traveled in opposite directions. How long will it take before the cars are 630 kilometers apart?


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Two teams are competing in swimming relay races. Swimmer A pushes off two seconds ahead of Swimmer B with 50m left to go. If swimmer A swims at an average speed of 1.9m/s and swimmer B swims at an average speed of 2.1m/s, who wins the race? How far ahead (in seconds and meters) is the winner?

Motion

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Determine the maximum speed based on the data

given

Consider the data below for the first 10 minutes of a teacher’s

trip along SRP to school.

Time

(min)

Position

(km)

0 0

1 0.4

2 0.8

3 1.3

4 2.1

5 2.5

6 2.7

7 3.8

8 5.0

9 6.4

10 7.6

Motion

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Plot the data in a graph.

The position-time information of a giant turtle is shown in the data table below.

Time (h) Position (km)

0 0

1 0.3

2 0.6

3 0.9

4 1.2

5 1.5

6 1.8

Motion

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Determine the speed per time interval.


Time (h) Position (km) Speed (km/h)

0 0

1 0.3

2 0.6

3 0.9

4 1.2

5 1.5

6 1.8

Motion

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Plot the speed vs time graph


Time (h) Position (km) Speed (km/h)

0 0 0

1 0.3 0.3

2 0.6 0.3

3 0.9 0.3

4 1.2 0.3

5 1.5 0.3

6 1.8 0.3

Motion

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0

0.3

0.6

0.9

1.2

1.5

1.8

2.1

0 1 2 3 4 5 6

Position

(km)

time (h)

The Slope

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0

0.3

0.6

0.9

1.2

1.5

1.8

2.1

0 1 2 3 4 5 6

Position

(km)

time (h)

x (xf –xi)

y (yf –yi)

The Slope

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The slope of the position versus time graph is SPEED or VELOCITY

The Slope

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v

t

(a) Data of the travel (b) Position versus time of (a)

(c) Velocity versus time graph of (b)

The Slope

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Rank the lines above from the one with the lowest to highest velocity.

d

t

A

B

C

Graphical Analysis

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Provide the speed versus time graph of the graphs above.

d

t

A

B

C

v

t

A

B

C

Graphical Analysis

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Translate the following verbal descriptions into d vs t graphs. Draw two lines per graph.

A. moving slow B. moving fast

1 A. moving in + constant velocity

B. moving in – constant velocity

2 A. moving in increasing +velocity

B. moving in decreasing +velocity

3 A. moving in increasing -velocity

B. moving in decreasing -velocity

4

Graphical Analysis

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Translate the following verbal descriptions into graphs. Draw two lines per graph.

d

t

B

A

A. moving slow B. moving fast

1

Graphical Analysis

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d

t B

A

A. moving in + constant velocity B. moving in – constant velocity

2

Graphical Analysis

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d

t

A

B

A. moving in increasing +velocity B. moving in decreasing +velocity

3

Graphical Analysis

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d

t

A

B

A. moving in increasing -velocity B. moving in decreasing -velocity

4

Graphical Analysis

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Describe the velocity of the object.

position, d

time, t

Graphical Analysis

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position, d

time, t

Graphical Analysis

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position, d

time, t

Graphical Analysis

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position, d

time, t

Graphical Analysis

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Act the motion

position, d

time, t

Graphical Analysis

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The motions of several objects is depicted in the position vs time graph below.

Which object(s) is/are at rest (not moving)?

Graphical Analysis

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Which object(s) is/are changing direction?

Graphical Analysis

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Which object(s) is/are accelerating?

Graphical Analysis

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Which object is traveling the fastest?

Graphical Analysis

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Which object is traveling the slowest?

Graphical Analysis

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What is the slope of velocity versus time graph?

ACCELERATION

Graphical Analysis

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Describe the acceleration of the graph below

v

t

v

t

v

t constant positive constant negative zero


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sum of speeds


Graphical Analysis

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What is Car A’s speed at t=50s?

What is the difference between the motion of Car A and Car B?

Graphical Analysis

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What is Car A’s acceleration during t=8 and t=10?

Which car has greater velocity at t=6?

Which car has greater acceleration at t=6?

Graphical Analysis

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What is the car’s acceleration during the interval AB?

Describe the car’s motion at during the interval FG?

Graphical Analysis

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During which time interval is the acceleration the greatest?

Graphical Analysis

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What is the maximum speed reached by the object during the entire travel?

Graphical Analysis

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During the interval t=8 to t=10, describe what is happening to the motion of the object?

Graphical Analysis

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t=1s t=2s t=4s t=6s t=3s t=5s

1

t=1s t=2s t=4s t=6s t=3s t=5s

2

t=1s t=2s t=4s t=6s t=3s t=5s 3

Graphical Analysis

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The red dots below are oil drop patterns of Car A and Car B. Each dot was made 1s after the other. Tell whether each statement is TRUE or FALSE.

Both cars have a constant velocity.

Both cars have an accelerated motion.

Car A is accelerating, Car B is not.

Car B is accelerating, Car A is not.

Car B is has greater acceleration than Car A.


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sum of speeds



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This is called speedometer. What does it measure, average speed or instantaneous

speed?


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The speedometer in every car also has an odometer that records the distance traveled. If it reads zero at the start of the trip and 35km half an hour later, what is its average speed in km/h?


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Constant Velocity

How far does a car reach if it is running at a constant speed of 10m/s for 3 seconds?


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Constant Velocity

If a cheetah can maintain a constant speed of 25m/s, it will cover 25 meters every second. At this rate, how far will it travel in 10 seconds? In 1 minute?


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Constant Velocity

A car traveled a total distance of 45m in 15 seconds. What is the car’s speed?

Accelerated Motion

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Rate of change of velocity ACCELERATION

Accelerated Motion

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Accelerating

A graphical representation of the motion of Lola’s pink car is illustrated below. What is the acceleration of her car?

Accelerated Motion

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Accelerating

A car that changes its speed from 5m/s to 10m/s in 5 seconds undergoes an acceleration of 1m/s2.

Accelerated Motion

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Accelerating

In 5 seconds, a car moving in a straight line increases its speed from 50km/h to 65 km/h, while a truck goes from rest to 15km/h in a straight line. Which undergoes a greater acceleration? What is the acceleration of each vehicle?

Accelerated Motion

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Accelerating

A race car accelerates uniformly from 18.5 m/s to 46.1 m/s in 2.47 seconds. Determine the acceleration of the car.


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1 2 3 4


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f i

f i

f i

v va

t

at v v

v v at

2

ave

ave

f i

dv

t

d v t

v vd t

2

2

2

2

2

2

2

2

1

2

f i

i i

i i

i

i

v vd t

v at vd t

v t at v td

v t atd

d v t at

2 2

2

2

2

f i

f i f i

f i

v vd t

v v v v

a

v vd

a

f iv vt

a

Solve for t

1 2 3 4


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Identify the given and the “required” of the following problems. Write the frame formula of each.

An airplane accelerates down a runway at 3.20m/s2 for 32.8s until finally lifts off the ground. Determine the distance traveled before take-off.


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A race car accelerates uniformly from 18.5 m/s to 46.1 m/s in 2.47 seconds. Determine the acceleration of the car and the distance traveled.


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A feather is dropped on the moon from a height of 1.40 meters. The feather accelerates to the ground at 1.67m/s2. Determine the time for the feather to fall to the surface of the moon.


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A bullet leaves a rifle with a muzzle velocity of 521m/s. while accelerating through the barrel of the rifle, the bullet moves a distance of 0.840m. Determine the acceleration of the bullet.

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Most explanation and examples in this presentation are based of the lesson presentation of The Physics Classroom & Conceptual Physics. The clip arts used were taken from

different sites that I thought are free to use. This is for classroom use only.

Pass your assignment

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Pptg101213 Motion Gallego

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