Why Do Time Intervals Differ in Motion Analysis Problems?

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Homework Help Overview

The problem involves analyzing motion with specified time intervals and calculating average velocity and acceleration over those intervals. The subject area pertains to kinematics in physics.

Discussion Character

  • Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are questioning the significance of the time intervals provided in the problem, particularly why certain values are used for calculations of average velocity and acceleration.

Discussion Status

There is an ongoing exploration of the reasoning behind the chosen time intervals. Some participants express confusion about the relevance of these intervals, while others attempt to clarify their origins. The discussion reflects a mix of interpretations regarding the problem setup.

Contextual Notes

Participants mention a potential misunderstanding of the problem statement and the specific time intervals given for calculations. There is a recognition of the arbitrary nature of some values, but also an acknowledgment of their importance in solving the problem.

cattalion
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Homework Statement


From t=0 to t=5.00 min, a man stands still, and from
t=5.00 min to t=10.0 min, he walks briskly in a straight line at a
constant speed of 2.20 m/s. What are (a) his average velocity vavg (v average)
and (b) his average acceleration aavg in the time interval 2.00 min to
8.00 min? What are (c) vavg and (d) aavg in the time interval 3.00 min
to 9.00 min?

I know the solution, but my question is: why is the entire time interval for part a is equal to delta t= 8–2= 6 min? Where did the 8 and 2 come from? Part b and c, I also am confused by the time intervals. I have the solution attached and confusions marked in red. Can anyone clarify this?

Homework Equations


Average velocity: Delta x/delta t

Average acceleration: Delta v/delta t

The Attempt at a Solution


(The solution is attached).
 

Attachments

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Last edited:
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cattalion said:
Where did the 8 and 2 come from?
The time intervals are all arbitrary values selected by the problem setter. They have no special significance.
 
haruspex said:
The time intervals are all arbitrary values selected by the problem setter. They have no special significance.

I still don't understand :frown: They do matter because I would need to use those values to find the average velocity. Wouldn't I subtract 10 - 5 minutes instead of 8 - 2 minutes since it says: "From t=0 to t=5.00 min... and from t=5.00 min to t=10.0 min..."?
 
cattalion said:
They do matter because I would need to use those values to find the average velocity. Wouldn't I subtract 10 - 5 minutes instead of 8 - 2 minutes since it says: "From t=0 to t=5.00 min... and from t=5.00 min to t=10.0 min..."?
Yes, of course they matter. Those are the values you are told to use:
(b) his average acceleration aavg in the time interval 2.00 min to 8.00 min
But you asked where they came from. The answer is that they came out of the problem setter's head.
 
check with Bashar
 
There something must be wrong with my eyes, because I "misread" the problem. It's sad though because I was trying to figure out where the times came from for a couple of days, and I finally saw "his average acceleration aavg in the time interval 2.00 min to 8.00 min?" It like miraculously appeared to me.

Thank you for all those that helped. Seriously think something wrong with my eyes.
 

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