1 You drop containers of eggs from several heights thencount the number of brokeneggs.

dependent variablenumber of eggs

independent variableheights

2 You exert forces at 10 poundincrements on as toy car andmeasure the resulting speed.

dependent variablespeed

independent variableforce

3 You drop a physics teacherfrom a tall building and measure his speed at 1 second increments

dependent variablespeed

independent variabletime

4 You increase pressure at a rate of 10lbs/in2 and measurethe resulting volume of a giant marshmallow.

dependent variablevolume

independent variablepressure

5 Identify the axis on which thefollowing variables are graphed.

dependent variabley-axis

independent variablex-axis

6

A B CWhich graph is described bythe equation y=kx2

C

7

A B CWhich graph shows a linear relationship?

B

8

A B CWhich graph will produce aconstant when (x)(y)?

A

9

A B CWhich graph is described bythe equation y=mx+b

B

10

A B CWhen pressure on a volume ofgas is increased, the volumedecreases. Which graph?

A

11

A B CThe human population is growing at an ever increasingrate. Which graph?

C

12 42 km = ___ µm(42km)(109 µm/km)

(42km)(109 µm/km)

42 x 109 µm

4.2 x 1010 µm

131.5 x 104 ms= ___ das

(1.5 x 104 ms)(1 das/ 104 ms)

(1.5 x 104 ms)(1 das/ 104 ms)

1.5 das

14 1.2 x 1012 ng= ___Mg(1.2 x 1012 ng)(1 Mg/1015 ng)

(1.2 x 1012 ng)(1 Mg/1015 ng)(1.2 x 1012)(1 Mg/1015)

103

1.2 x 10-3 Mg

15 9.1 x 102 hm/hr=___mm/s

(9.1x102 hm/hr)(105mm/hm)(1hr/3.6x103 s)

(9.1x102 hm/hr)(105mm/hm)(1hr/3.6x103 s)

(9.1x107 mm/3.6 s)

2.5x104 mm/ s)

+5earth radius 6.37x103kmspeed at equator 2x103km/hrlength of day?d=vt so t=d/v and d=2πrthus t= 2πr /v

t= 2π6.37x103km /2x103km/hrt= 20 hours

0 20 40 60 800

20

40

60

Ex180

Volume (cm3)

Mass (g)

0 20 40 60 800

20

40

60

•

Ex180

Volume (cm3)

Mass (g)

0 20 40 60 800

20

40

60

••

Ex180

Volume (cm3)

Mass (g)

0 20 40 60 800

20

40

60

•••

Ex180

Volume (cm3)

Mass (g)

0 20 40 60 800

20

40

60

••••

Ex180

Volume (cm3)

Mass (g)

0 20 40 60 800

20

40

60

•••

••

Ex180

Volume (cm3)

Mass (g)

0 20 40 60 800

20

40

60

•••

••

Ex180

Volume (cm3)

Mass (g)

b. linearEx1

b. linearEx1

c. y=mx+b m=mv m=dv

b. linearEx1

c. y=mx+b m=mv m=dvd. g/cm3, density

0 10 20 30 400

10

20

30

force (N)

acce

lera

tion

(m/s

2 )

Ex3

0 10 20 30 400

10

20

30

•force (N)

acce

lera

tion

(m/s

2 )

Ex3

0 10 20 30 400

10

20

30

••

force (N)

acce

lera

tion

(m/s

2 )

Ex3

0 10 20 30 400

10

20

30

••

•force (N)

acce

lera

tion

(m/s

2 )

Ex3

0 10 20 30 400

10

20

30

••

•

•

force (N)

acce

lera

tion

(m/s

2 )

Ex3

0 10 20 30 400

10

20

30

••

•

••

force (N)

acce

lera

tion

(m/s

2 )

Ex3

0 10 20 30 400

10

20

30

••

•

••

•

force (N)

acce

lera

tion

(m/s

2 )

Ex3

0 10 20 30 400

10

20

30

••

•

••

•

force (N)

acce

lera

tion

(m/s

2 )

Ex3

b. as force increases,acceleration increases

Ex3

b. as force increases,acceleration increases

Ex3

c. y=mx+b a=m f a=(1/m)v

b. as force increases,acceleration increases

Ex3

c. y=mx+b a=m f a=(1/m)vd. m/s2/N

0 2 4 6 80

2

6

8

acce

lera

tion

(m/s

2 )

mass (g)

4

10

12

14

Pr2

0 2 4 6 80

2

6

8

•ac

cele

ratio

n (m

/s2 )

mass (g)

4

10

12

14

Pr2

0 2 4 6 80

2

6

8

•

•ac

cele

ratio

n (m

/s2 )

mass (g)

4

10

12

14

Pr2

0 2 4 6 80

2

6

8

••

•ac

cele

ratio

n (m

/s2 )

mass (g)

4

10

12

14

Pr2

0 2 4 6 80

2

6

8

••

•

•

acce

lera

tion

(m/s

2 )

mass (g)

4

10

12

14

Pr2

0 2 4 6 80

2

6

8

••

•

••

acce

lera

tion

(m/s

2 )

mass (g)

4

10

12

14

Pr2

0 2 4 6 80

2

6

8

••

•

•••

acce

lera

tion

(m/s

2 )

mass (g)

4

10

12

14

Pr2

0 2 4 6 80

2

6

8

••

•

•••

acce

lera

tion

(m/s

2 )

mass (g)

4

10

12

14

Pr2

Pr2b. inverse, or hyperbola

Pr2b. inverse, or hyperbola

c. as mass increases,acceleration decreases

Pr2b. inverse, or hyperbola

c. as mass increases,acceleration decreasesd. k=xy, or k=ma, or f=ma since force was constant.

Pr2b. inverse, or hyperbola

c. as mass increases,acceleration decreasesd. k=xy, or k=ma, or f=ma since force was constant.e. g/m/s2