What is the Displacement of a Particle from t=1s to t=3s?

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Homework Help Overview

The discussion revolves around determining the displacement of a particle described by a position vector equation over a specified time interval from t=1s to t=3s. The equation includes components in three dimensions, indicating a kinematic context.

Discussion Character

  • Exploratory, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • Participants explore different methods for calculating displacement, including substituting time values into the position vector and considering the magnitude of the resulting vectors. Questions arise regarding the appropriate approach to take and whether to calculate components separately.

Discussion Status

Some participants have suggested specific calculations to find position vectors at the given times, while others have proposed using the Pythagorean theorem to find the magnitude of displacement. There is an ongoing exploration of methods without a clear consensus on the best approach.

Contextual Notes

Participants express urgency in completing the task, indicating a time constraint. There is also a focus on understanding the vector nature of the problem and the implications of calculating displacement in three dimensions.

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Homework Statement



Determine the displacement of this particle from t=1s to t=3s

r=-(5,0m/s)t i + (10,0m/s^2)t^2 j + (7,0m -(2,0m/s^3)t^3) k


Homework Equations





The Attempt at a Solution


I don't have an idea how to do this if I should to it by replacing t by 1 and then getting the magnitude of the vector for example. or should i get the value of t = 1 by each component alone and substract the components of 3 - the components of 1 ?

I must finish this soon thanks for the help in advance
 
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the equation represents the position vector in the form of coordinates.make t=1and t=3,you will get two position vectors (-5,10,5)and(-15,90,-20).use the knowledge of vector of the form of coordinates and you will get the answer
 
azureth said:
the equation represents the position vector in the form of coordinates.make t=1and t=3,you will get two position vectors (-5,10,5)and(-15,90,-20).use the knowledge of vector of the form of coordinates and you will get the answer

Now I must only get the magntitude of the vectors? thanks
 
you may get the magnitude of the vector of displacement by using pythagorean theorem
 
azureth said:
you may get the magnitude of the vector of displacement by using pythagorean theorem

thanks a lot
 

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