The-speed-of-a-boat-is-given-by-V-k-l-t-at-where-k-is-the-constant-and-l-is-the-distance-travel-by-boat-in-time-t-and-a-is-the-acceleration-of-water-If-there-is-a-change-in-l-from-2cm-to-1cm-in

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Question Number 195883 by Humble last updated on 12/Aug/23

The speed of a boat is given by, V=k((l/t)−at), where k is the constant and l is the distance travel by boat in time t and a is the acceleration of water. If there is a change in l from 2cm to 1cm in time 2sec. to 1sec. If the acceleration of water changes from 0.95m/s^2 to 2m/s^2 . Find the motion of boat.

$$\mathrm{The}\:\mathrm{speed}\:\mathrm{of}\:\mathrm{a}\:\mathrm{boat}\:\mathrm{is}\:\mathrm{given}\:\mathrm{by},\:\mathrm{V}=\mathrm{k}\left(\frac{\mathrm{l}}{\mathrm{t}}−\mathrm{at}\right), \\ $$$$\mathrm{where}\:\mathrm{k}\:\mathrm{is}\:\mathrm{the}\:\mathrm{constant}\:\mathrm{and}\:\mathrm{l}\:\mathrm{is}\:\mathrm{the}\:\mathrm{distance} \\ $$$$\mathrm{travel}\:\mathrm{by}\:\mathrm{boat}\:\mathrm{in}\:\mathrm{time}\:\mathrm{t}\:\mathrm{and}\:\mathrm{a}\:\mathrm{is}\:\mathrm{the}\:\mathrm{acceleration}\:\mathrm{of}\:\mathrm{water}.\: \\ $$$$\mathrm{If}\:\mathrm{there}\:\mathrm{is}\:\mathrm{a}\:\mathrm{change}\:\mathrm{in}\:\mathrm{l}\:\mathrm{from}\:\mathrm{2cm}\:\mathrm{to}\:\mathrm{1cm}\:\mathrm{in}\:\mathrm{time}\:\mathrm{2sec}.\:\mathrm{to}\:\mathrm{1sec}.\:\mathrm{If}\:\mathrm{the}\:\mathrm{acceleration} \\ $$$$\mathrm{of}\:\mathrm{water}\:\mathrm{changes}\:\mathrm{from}\:\mathrm{0}.\mathrm{95m}/\mathrm{s}^{\mathrm{2}} \:\mathrm{to}\:\mathrm{2m}/\mathrm{s}^{\mathrm{2}} .\:\mathrm{Find}\:\mathrm{the}\:\mathrm{motion}\:\mathrm{of}\:\mathrm{boat}. \\ $$

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The-speed-of-a-boat-is-given-by-V-k-l-t-at-where-k-is-the-constant-and-l-is-the-distance-travel-by-boat-in-time-t-and-a-is-the-acceleration-of-water-If-there-is-a-change-in-l-from-2cm-to-1cm-in

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