Calculating Velocity and Acceleration Using Unit Vector Notation

AI Thread Summary
The discussion centers on calculating velocity and acceleration from a given position vector expressed in unit vector notation, r = (3.0i + 6.0j)m. Participants express confusion over the absence of a time variable in the position function, which is typically denoted as "t." It is clarified that velocity is derived from the rate of change of the position function, while acceleration is derived from the rate of change of the velocity function. Some contributors speculate that the worksheet might contain an error due to the lack of a time variable. Overall, the consensus is that without additional information, the calculations for velocity and acceleration cannot be completed.
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Unit Vector notation??

The vector position of a particle varies in time according to the expression r = (3.0i +6.0j)m

Find expressions for velocity and acceleration as functions of time.


I have NO IDEA HOW TO DO THIS.
 
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Does the variable m stand for time in this problem..? Do you know how to differentiate? Velocity is the position function's rate of change, and acceleration is the velocity function's rate of change.
 


206PiruBlood said:
Does the variable m stand for time in this problem..? Do you know how to differentiate? Velocity is the position function's rate of change, and acceleration is the velocity function's rate of change.

m was meters, what confused me was that there was no variable given for time, by standard we use "t" in class and this position vector had no variable for time so I couldn't differentiate :/ Do you think maybe my teacher made an error typing the worksheet? I don't think there is enought information given only that position vector.
 


Well I guess technically the velocity and acceleration are zero if your position is a constant. Seems odd that you would be asked that though.
 


Yeah, thank you for your help, I agree lol
 

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