Hints on how to approach this vector displacement problem?

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Homework Help Overview

The discussion revolves around a vector displacement problem involving a motorist's journey with multiple directional changes. Participants are tasked with calculating total vector displacement, average speed, and average velocity based on given speeds and travel times.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants suggest starting with vector diagrams to visualize the problem. There is a focus on determining the coordinates for each leg of the journey and considering how to sum the vectors for total displacement.

Discussion Status

Some participants have provided initial thoughts on drawing vectors and calculating distances traveled during each segment. There is an acknowledgment that while some ideas are promising, further clarification and corrections are needed regarding the approach to summing the vectors.

Contextual Notes

Participants are encouraged to think through the problem step-by-step without needing to solve it entirely, which aligns with the forum's learning-first approach. There is an emphasis on understanding the setup and assumptions involved in the calculations.

JessicaJ283782
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A motorist drives south at 32.0 m/s for 4.00 min, then turns west and travels at 55.0 m/s for 5.10 min, and finally travels northwest at 12.0 m/s for 2.00 min. Find the following values.

1.total vector displacement (m) at a _ degree south of west
2.average speed (m/s)
3. average velocity m/s (magnitude) at a _ degree south of west.

I'm not too sure how to approach this problem at all? Any hints would be appreciated, thank you!
 
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JessicaJ283782 said:
A motorist drives south at 26.0 m/s for 3.00 min, then turns west and travels at 25.0 m/s for 2.20 min, and finally travels northwest at 30.0 m/s for 1.00 min. For this 6.20 min trip, find the following values.

1.total vector displacement (m) at a _ degree south of west
2.average speed (m/s)
3. average velocity m/s (magnitude) at a _ degree south of west.

I'm not too sure how to approach this problem at all? Any hints would be appreciated, thank you!
Force yourself to think of what you would do first. You don't have to solve the whole problem. Just tell us what you would do first, and what your results are.

Chet
 
I think you would have to draw the vectors first. So, the first one would be straight down and would have (0,26) as the coordinates. The second would be (25,0) pointing to the left. Then the third one would connect the two others. So displacement is all of them added up correct?
 
JessicaJ283782 said:
I think you would have to draw the vectors first. So, the first one would be straight down and would have (0,26) as the coordinates. The second would be (25,0) pointing to the left. Then the third one would connect the two others. So displacement is all of them added up correct?

Well, this isn't correct, but it is a good start. Given the speeds and velocities, how far does the motorist travel during each leg of the journey (in meters)?
 

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