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This is the main Question: Part One: A particle is moving along a curve determin

ID: 2873586 • Letter: T

Question

This is the main Question: Part One:

A particle is moving along a curve determined by r(t) = . Assume t geq 0 Determine r(1), v(t) , v(1), a(t) , a(1) ,|v(t)| , |v(1)| , T(t) , T(1) , N(t) , N(1) ,K(t) , K(1) ,B(t) , B(1) ,v(t) dot a(t) , v(t) cross a(t) , aT(t) , aN(t) Compute T(t) dot N(t) , Compute T(t) dot B(t) , Compute B(t) dot N(t) Show that a(1) = aT(1) + aN(1)

https://www.chegg.com/homework-help/questions-and-answers/particle-moving-along-curve-determined-r-t--assume-t-geq-0-determine-r-1-v-t-v-1-t-1-v-t-v-q8591449

The link for part One: (partially solved)

Using the parametric equations for C, write the function y = f(x) which represents C. x =f(t) = y = g(t) = y = f(x) = ,

Explanation / Answer

Well, To solve part two one ought to have the function r(t). Since it is not given here , and neither in the link
and If I remember correctly, The part one question that got posted at some other point of time and I actually got to solve it, it was r(t) = t^3 i + t^2 j

And from here we can proceed , the x-axis component of the above vector is t^3
                                                Or x=t^3  
                                  Similarly      y= t^2
               From these two we get    y^3 = x^2
                                           Or      y= x ^(2/3)............. Answer

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