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

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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