Relative Velocity of Car B to Car A at Different Speeds

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Homework Help Overview

The discussion revolves around determining the relative velocity of Car B to Car A when Car A slows down to 30 m/s. The context involves two cars moving in the same direction, with Car A initially traveling at 40 m/s and Car B at 60 m/s, as illustrated in figure 1.6.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants explore the calculation of relative velocity using subtraction of speeds. There is uncertainty about whether the initial calculations are correct and if the approach is valid. Some participants question the clarity of the original problem statement.

Discussion Status

Multiple interpretations of the problem are being explored, with participants attempting to clarify the correct method for calculating relative velocity. Guidance has been offered regarding the vector subtraction approach, suggesting a reconsideration of the order in which the velocities are subtracted.

Contextual Notes

There is confusion regarding the initial conditions and the specific question being asked, which may affect the interpretations of the calculations. Participants are encouraged to read the problem carefully to ensure understanding.

missie
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Question: Look at figure 1.6. if Car a slowed to 30m/s. what would the velocity of car b relative to car a be?

figure 1.6 is a picture of 2 car going forward the same way. Car a is in the front and car b is in the back. Car a is going at 40m/s and car b is going 60 m/s.

will this be how i solve it?

40m/s - 60m/s = -20 m/s

is that how the answer is or I'm i wrong? is it another way?
 
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missie said:
Question: Look at figure 1.6. if Car a slowed to 30m/s. what would the velocity of car b relative to car a be?

figure 1.6 is a picture of 2 car going forward the same way. Car a is in the front and car b is in the back. Car a is going at 40m/s and car b is going 60 m/s.

will this be how i solve it?

40m/s - 60m/s = -20 m/s

is that how the answer is or I'm i wrong? is it another way?

But was that the actual question?
 
yes that was the question.
 
the problem is that i don't know if i solved it right.
 
missie said:
yes that was the question.

Please read the problem more carefully.

Look at figure 1.6. if Car a slowed to 30m/s. what would the velocity of car b relative to car a be?
 
so the answer should be:

30m/s - 60m/s = -30m/s

? and thanks ;]
 
missie said:
so the answer should be:

30m/s - 60m/s = -30m/s

? and thanks ;]

Not quite.

Take the vector difference by subtracting the vector of car A from the vector of Car B.

In the case where they were moving away the distance was getting bigger. Subtracting from the second really resulted in adding. In this case the vector of the second is larger and when you subtract the vector (of the one you want it relative to) it's not (-) it's (+). Reverse the order of the subtraction in the equation you gave.
 
thanks so much ;]
 

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