OZAN BİNGÖLMath Project

Travelling with graphs

QUESTION 1

Speed mph

Time (hours)

8

6

42

1 2 3

What is the distances traveled during the first hour and last hour?

QUESTION 1

Speed mph

Time (hours)

8

6

42

1 2 3

What is the distances traveled during the first hour and last hour?

+ = 6

QUESTİON 2

8

6

42

1 2 3

What was Carl’s speed at the end of thirty minutes?

Speed mph

Time (hours)

QUESTİON 2

8

6

42

1 2 3

What was Carl’s speed at the end of thirty minutes?

4mph

Speed mph

Time (hours)

QUESTION-3

8

6

42

1 2 3

Speed mph

Time (hours)

What is the total distance covered during this trip?

QUESTION-3

8

6

42

1 2 3

Speed mph

Time (hours)

What is the total distance covered during this trip?

(8 x 2) + 6 = 22

QUESTION-4

1210

8

64

2

01 2 3 4 5

During a five hour bike ride, Carl again collects speed -time data and graphs it below. What is the total distance Carl traveled during this ride?

QUESTION-4

1210

8

64

2

01 2 3 4 5

During a five hour bike ride, Carl again collects speed -time data and graphs it below. What is the total distance Carl traveled during this ride?

2.5 + 3 + 10 + 2 + 6 + 5 = 28.5

QUESTION-5

1210

8

64

2

01 2 3 4 5

The time during which a body has a constant increase in velocity is called a period of acceleration, and the body is said to be accelarating. What are the periods of acceleration for the two trips discussed above?

QUESTION-5

1210

8

64

2

01 2 3 4 5

The time during which a body has a constant increase in velocity is called a period of acceleration, and the body is said to be accelarating. What are the periods of acceleration for the two trips discussed above?

0-1,3-4

8

6

42

1 2 3

Speed mph

Time (hours)

1210

8

64

2

01 2 3 4 5

6) What are the periods of deceleration for the two trips?

8

6

42

1 2 3

Speed mph

Time (hours)

1210

8

64

2

01 2 3 4 5

6) What are the periods of deceleration for the two trips?

3-4 and 4-5

STUDENT ASSIMENTS

AccelerationWhen an object's velocity

changes, it accelerates. Acceleration shows the change in velocity in a unit time. Velocity is measured in meters per second, m/s, so acceleration is measured in (m/s)/s, or m/s2, which can be both positive and negative.  

1) Consider the graph given in the last exercise above. What property of the line from (0,0) to (t,v) corresponds to acceleration.

As the speed increases .The time takes decreases too.because of this the acceleration also increases ,so these lines show the acceleration of car

2) Write an expression that relates acceleration to velocity and time.RELATIONSHIP BETWEEN a,v and t

a=v(r)/tIn here there is a directly proportion betweenand v,there is a not directly proportion between v and t also a and t.As the a increases v gets higher and t gets

lower.

DISTANCE FORMULA3) Use the information obtained from the exercises above to find a formula for distance traveled during a period of constant acceleration.

Distance=speed.time

v.t/2v.t

v.t/2

The sprinter(distance/time)

0 2 4 6 8 10 120

20

40

60

80

100

120

distance

Y-Values

time

4)A sprinter can cover 100 m in 10 about seconds. Sketch a speed/time graph of how you think a 100-meter sprinter might run the course.

5) Assume you can run a 5-mile in 25 minutes.The course is over level ground. Sketch a speed/time graph for your race

0 200 400 600 800 1000 1200 1400 16000

100020003000400050006000700080009000

distance

time

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