(adsbygoogle = window.adsbygoogle || []).push({}); 1. A particle moves in the (x,y) plane so that its position (x,y) as a function of time is given by:

2. z=[tex]\frac{i+2t}{t-i}[/tex]

Find the magnitudes of its velocity and its accleration as functions of t by writing z in the x+iy form and so find x and y as functions of t.

3. I think

x=[tex]\frac{2t^{2}-1}{t^{2}+1}[/tex]

and

y=[tex]\frac{3t}{t^{2}+1}[/tex]

I am not sure if these are correct and if so how to use them to find v and a. I thought if I could find mod z using these x and y this would give me this distance then divide through by t to get v but when I try this I don't get anything I can divide through by t and be simplifyable in anyway. I know the answers should be v=[tex]\frac{3}{t^{2}+1}[/tex] as this is found using [tex] \frac{dz}{dt}[/tex] but I am asked to verify this using x and y as functions of t.

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# Homework Help: Find v & a in complex plain

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