A swimmer can swim in still water with 5 ,m/s | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) To reach the exactly opposite point, the swimmer must swim at an angle against the river current such that the resultant velocity is perpendicular

Vedclass · Accepted Answer

$100$

Vedclass · Answer

(C) To reach the exactly opposite point, the swimmer must swim at an angle against the river current such that the resultant velocity is perpendicular to the river bank.Let $v_s = 5 \,m/s$ be the speed of the swimmer in still water and $v_r = 4 \,m/s$ be the speed of the river flow.The effective velocity $v_{eff}$ perpendicular to the bank is given by $v_{eff} = \sqrt{v_s^2 - v_r^2}$.$v_{eff} = \sqrt{5^2 - 4^2} = \sqrt{25 - 16} = \sqrt{9} = 3 \,m/s$.The time $t$ taken to cross the river of width $d = 300 \,m$ is $t = \frac{d}{v_{eff}}$.$t = \frac{300}{3} = 100 \,s$.

$A$ swimmer can swim in still water with $5 \,m/s$. If a river is flowing with $4 \,m/s$, then find the time to cross the river of width $300 \,m$ if he has to reach the exactly opposite point.

Similar Questions

If a $100 \,m$ long train needs $7.2 \,s$ to cross an object moving in a direction opposite to the train's direction with a speed of $5 \,km/h$, then find the velocity of the train. (in $\,km/h$)

Consider two observers observing a single moving object,and one observer observing two moving objects. Explain the concept of relative velocity in these scenarios.

Two trains,each $50 \, m$ long,are travelling in opposite directions with velocities $10 \, m/s$ and $15 \, m/s$. The time taken for them to cross each other is:

Ram moves in the east direction at a speed of $6 \, m/s$ and Shyam moves $30^{\circ}$ east of north at a speed of $6 \, m/s$. The magnitude of their relative velocity is ........ $m/s$.

The velocities of $A$ and $B$ are $\vec{v}_A = 2 \hat{i} + 4 \hat{j}$ and $\vec{v}_B = 3 \hat{i} - 7 \hat{j}$. The velocity of $B$ as observed by $A$ is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module