- #1

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- Homework Statement
- Please refer to the picture, I don't really have a question problem.

I was posed the question on how I would model what the position would be when the frame of reference is translated as shown on the picture.

- Relevant Equations
- ##\vec r = 8t \hat i + 6t \hat j## for the y-x reference framse.

what would be the y'-x' ##\vec r## vector be?

I think it is

##\vec r = (8t - 1) \hat i + (6t - 2) \hat j## (not sure whether it is correct or not.)

I thought about it as at t = 0 the position needs to be -1i -2j so that is why I took the signs in the y'-x' frame position vector as a - instead of + signs for 1 and 2.

Is it ok to reason like this or do I need to derive it from somewhere else? I am not very acquianted with translation of the axes that's why I am asking.

Thanks in advance.

I think it is

##\vec r = (8t - 1) \hat i + (6t - 2) \hat j## (not sure whether it is correct or not.)

I thought about it as at t = 0 the position needs to be -1i -2j so that is why I took the signs in the y'-x' frame position vector as a - instead of + signs for 1 and 2.

Is it ok to reason like this or do I need to derive it from somewhere else? I am not very acquianted with translation of the axes that's why I am asking.

Thanks in advance.