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Question Number 53686 by ajfour last updated on 25/Jan/19

Commented by ajfour last updated on 25/Jan/19

$C h a r g e d p a r t i c l e (q, m) r e l e a s e d$ $a t o r i g i n . F i n d v e l o c i t y \bar{v} a s a$ $f u n c t i o n o f t h e z c o o r d i n a t e .$ $E l e c t r i c f i e l d, E_{0} \hat{k},$ $M a g n e t i c f i e l d, - B_{0} \hat{j} a r e p r e s e n t .$
Commented by Tinkutara last updated on 25/Jan/19

$v_{z} = \sqrt{2 A ω z - ω^{2} z^{2}};$ $A = \frac{E_{0}}{B_{0}}$ $ω = \frac{{q B}_{0}}{m}$
Commented by ajfour last updated on 25/Jan/19

$s e e m s c o r r e c t, v_{x} = ?$
Commented by Tinkutara last updated on 25/Jan/19

$v_{x} (t) = \frac{E_{0}}{B_{0}} (1 - \cos ω t)$
Commented by ajfour last updated on 25/Jan/19

$n o t r i g h t p r o c e s s, s i r; s o o n v_{x}$ $d e v e l o p s, s o y o u m u s t t a k e t h i s$ $i n t o c o n s i d e r a t i o n, m o r e o v e r,$ $\bar{v} i s a s k e d f o r a s a f u n c t i o n o f z,$ $a n d n o t t i m e t [\bar{v} (t) m i g h t b e s t i l l$ $m o r e d i f f i c u l t] .$
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