Thursday, October 14, 2010

Translation of Graph

Graph B)
There are five sections in this graph:

Velocity →↓
Section 1) Time (in second) 0 ~ 1  : The Velocity starts at the x-axis, a horizontal line which lies on the x-axis is created.
Section 2) Time (in second) 1 ~ 3  : A horizontal line is created in the positive area at  0.75 as the walking speed is 0.75m/s [E]     Slope: 1.5(m)/2(s)
Section 3) Time (in second) 3 ~ 6  : No change in distance, so there's a horizontal line on the x-axis.
Section 4) Time (in seond) 6 ~ 7.5  : A horizontal line is created in the negative area at -0.53 as the walking speed is 0.53m/s [W]c or -0.53m/s [E]    Slope: -0.8(m)/1.5(s)

Section 5) Time (in second) 7.5 ~ 10  : No change in distance, so there's a horizontal line on the x-axis.

Acceleration →↓
 There's no acceleration in this graph. The line lies on the x-axis.

Graph C)
There are 5 sections in this graph
Velocity →↓

Section 1) Time (in second) 0 ~ 3  : A horizontal line is created in the negative area at -0.5 as the walking speed is 0.5m/s [W] or -0.5m/s[E]   Slope: -1.5(m)/3(s)
Section 2) Time (in second) 3 ~ 4  : No change in distance, so there's a horizontal line on the x-axis.
Section 3) Time (in second) 4 ~ 5  : A horizontal line is created in the negative area at 1 as the walking speed is 1m/s [W] or -1m/s [E]    Slope: -1(m)/1(s)
Section 4) Time (in second) 5 ~ 7  : No change in distance, so there's a horizontal line on the x-axis.
Section 5) Time (in second) 7 ~ 10  : A horizontal line is created in the positive area at 0.83 as the walking speed is 0.83m/s    Slope: 2.5(m)/3(s)

Acceleration →↓

There's no accelerationin this graph. The line lies on the x-axis.


Graph D)
There are 4 sections is this graph:

Distance →↓

Section 1) Time (in second) 0 ~ 2  : The distance start from 0m, and stay for 2 seconds therefore a horizontal line lies on the x-axis.
Section 2) Time (in second) 2 ~ 5  : The line goes up with a positive direction and stop at 1.5m away the origin.  Distance: 0.5(m/s)*3(s)
Section 3)
Time (in second) 5 ~ 7  : The velocity is 0, that causes a horizontal line is drawn at 1.5m.
Section 4) Time (in second) 7 ~10  : The line decreases with a negative direction and stop at 0
. Distance : -0.5(m/s)*3(s)
Acceleration →↓
There's no acceleration in this graph. The line lies on the x-axis.


Graph E)
There are 4 sections in this graph:

Distance →↓

Section 1)
 Time (in second) 1 ~ 4  : The speed increases in a speed of 0.125m/s Slope: 0.5(m/s)/4(s), so it will become a curve, a cureve which has a smaller slope at first and become gather and the line stop at 1m away the origin.
Section 2) Time (in second) 4 ~ 6  : The line goes up with a positive direction and stop at 2m away the origin.   Distance: 0.5(m/s)*2(s)
Section 3) Time (in second) 6 ~ 9  : The line decreases with a negative direction and stop at 0.8m away thre origin.  Distance: -0.4(m/s)*3(s)
Section 4) Time (in second) 9 ~ 10  : The velocity is 0, that causes a horizontal line is drawn at 0.8m

Acceleration →↓
Section 1) Time (in second) 1 ~ 4  : A horizontal line is created at 0.125(m/s2) Slope: 0.5(m/s)/4(s).
Section 2 ~ 4) There're no acceleration in section 2 to 4. The line from 4 to 10 second is on the x-axis.

Graph F)
There are 3 sections in this graph:

Velocity →↓

Section 1) Time (in second) 1 ~ 4  : A horizontal line is created in the positive area at 0.26m as the walking speed is 0.26m/s  Slope: 0.9(m)/3.5(s)
Section 2) Time (in second) 4 ~ 6.5  : No change in the distance, so there's a horizontal line on the x-axis.
Section 3) Time (in second) 6.5 ~ 10  : A horizontal line is created in the positive area at 0.43 as the walking speed is 0.43m/s 
Slope: 1.5(m)/3.5(s)
Acceleration →↓
There's no acceleration in this graph. The line lies on the x-axis.

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