How to Solve Question 36 on Time-Displacement Diagrams?

AI Thread Summary
To solve Question 36 on time-displacement diagrams, focus on the relationship between the displacement graph and its slope, which represents velocity. The velocity graph is essentially the derivative of the displacement graph, indicating how position changes over time. A straight line in the displacement graph indicates a constant slope, leading to a consistent velocity. The correct answer to the question is identified as (1). Understanding these concepts is crucial for accurately interpreting the graphs involved.
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Homework Statement


Guys I urgently need help with this question I hfound online. I cannot paste it here because it has all these diagrams which cannot be copied. Could you please just follow the link and tell how best to figure out the question( its the question number 36) The one about the diagrams.
http://www.nysedregents.org/Physics/20050127exam.pdf

Homework Equations





The Attempt at a Solution


My guess was the number '3' but it seems am wrong. how can I simply deduce the answer?
 
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If you have taken a calculus class then you can easily see the answer by realizing that the velocity graph should be the derivative of the displacement graph.

But in either case, first look at the displacement graph, and think about it's slope. A straight line has a constant slope right?
A velocity graph that matches the displacement graph should basically be a "graph of the slope" of the displacement graph. Because "velocity" is the rate of change of the position.
 
From the graph, the answer should be 2. It can be understood as the Brownian motion.
 
Are you looking at the same problem Hahong?

He was asking about number 36, which is the velocity and displacement graphs.
The answer is (1) btw...
 
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