A boat of mass m, traveling with v of Vo at t=0. A power is shut off assuming water resistance is proportioal to Vn^� and V is instantaneous velocity find V as a function of the distance travelled


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Question Number 28382 by Ruchinna1 last updated on 25/Jan/18

$A b o a t o f m a s s m, t r a v e l i n g w i t h v o f V o a t$ $t = 0 . A p o w e r i s s h u t o f f a s s u m i n g w a t e r$ $r e s i s t a n c e i s p r o p o r t i o a l t o V \hat{n} a n d V i s$ $i n s t a n t a n e o u s v e l o c i t y f i n d V a s a f u n c t i o n$ $o f t h e d i s t a n c e t r a v e l l e d$
	Answered by ajfour last updated on 25/Jan/18

	$\frac{V d V}{d x} = - k V$ $V - V_{0} = - k x$ $V = V_{0} - k x$
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