A man can swim with speed 5 m s - 1 in still river while the river is also flowing with speed 10 m s - 1 . If the width of the river is 100 m then minimum possible drift is

Question

A man can swim with speed 5 m s - 1 in still river while the river is also flowing with speed 10 m s - 1 . If the width of the river is 100 m then minimum possible drift is, 100 m, 0, 100 3 m, 100 2 m

MARKS App · Accepted Answer

Let the man swim with an angle θ with upstream , By using the concept of relative velocity with respect to river and substituting given values, D r i f t = 10 - 5 cos ⁡ θ 100 5 sin ⁡ θ Differentiate this find θ at extremum & then put θ value in the formula Drift = 100 3 m .

Search any question & find its solution

Looking for more such questions to practice?