Velocity-Time Graph: Dog's Position

AI Thread Summary
The discussion focuses on calculating the dog's velocity across three segments of a motion graph, yielding values of 2 m/s, 0 m/s, and -2.42 m/s. Participants seek clarification on constructing a corresponding Velocity-Time Graph using specific x-values (10, 20, and 28.25) and the calculated y-values (2, 0, and -2.42). There is a debate about whether the dog returns to a y-value of 0, with some suggesting that the velocity should be adjusted to 2.27 m/s based on the dog's movement. The importance of accurately interpreting the graph's data points is emphasized, particularly regarding the dog's position at various times. Overall, the discussion highlights the complexities of graph interpretation and velocity calculation in motion analysis.
aatari
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Hi Guys,

I have attempted the question below and would greatly appreciate if I can get some feedback.

A dog's position is recorded in the graph below. Determine the velocity of the dog in all three segments. Sketch the corresponding Velocity-Time Graph. Please See the attached image.

Here are the velocities that I got:

A = 2 m/s
B = 0 m/s
C = -2.42 m/s

Now for the graph that I will make for velocity-time. Do I just use 10, 20, and 28.25 as x-values and then 2, 0, and -2.42 as y-values?
 

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For c, it looks like he moves 15 meters in 6.667 seconds. Edit: -> It looks like it intersects exactly where those two gridlines meet.
 
TomHart said:
For c, it looks like he moves 15 meters in 6.667 seconds. Edit: -> It looks like it intersects exactly where those two gridlines meet.
So you are saying the dog doesn't go all the to 0? So if that's the case is the velocity then 2.27 m/s?
 
aatari said:
Hi Guys,

I have attempted the question below and would greatly appreciate if I can get some feedback.

A dog's position is recorded in the graph below. Determine the velocity of the dog in all three segments. Sketch the corresponding Velocity-Time Graph. Please See the attached image.

Here are the velocities that I got:

A = 2 m/s
B = 0 m/s
C = -2.42 m/s

Now for the graph that I will make for velocity-time. Do I just use 10, 20, and 28.25 as x-values and then 2, 0, and -2.42 as y-values?

upload_2017-2-20_6-12-16.png

aatari said:
Hi Guys,

I have attempted the question below and would greatly appreciate if I can get some feedback.

A dog's position is recorded in the graph below. Determine the velocity of the dog in all three segments. Sketch the corresponding Velocity-Time Graph. Please See the attached image.

Here are the velocities that I got:

A = 2 m/s
B = 0 m/s
C = -2.42 m/s

Now for the graph that I will make for velocity-time. Do I just use 10, 20, and 28.25 as x-values and then 2, 0, and -2.42 as y-values?

The y values are 20 m, 20 m and 0 m, but it is more accurate to read Δx and Δy from the blue triangle.
upload_2017-2-20_6-12-16.png
 
The dog definitely goes to back to y = 0. I am just saying that the point x=26.6666, y = 5 is a lot easier to read than the point at y=0.
 
Ok that is interesting. Thank you guys!
 
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How did you get this number?
C = -2.42 m/s
 
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