A swimmer crosses a river in shortest distance

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A man swimming downstream overcomes a float at a point M. Then the ratio of speed of swimmer with respect to still water to the speed of the river will be. Swimmer takes 6 seconds to cross the river of width 60 m. The velocity of the swimmer with respect to water will be :. To cross the river in shortest distance, a swimmer should swimming an angle theta with the upsteram. What is the ratio of the time taken to swim across in the shortest time to that in swimming across over shortest distance.

A swimmer crosses a river in shortest distance

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A swimmer crosses a flowing stream of width. The time taken to cover the same distance up and down the stream is t 2. If t 3 is the time the swimmer would take to swim a distance 2d in still water, then n. A swimmer crosses a flowing stream of width d toand from in time t 1. Then the time the swimmer would take to swim a distnace 2d in still water is. A swimmer crosses a flowing stream of width d to and fro normal to the flow of the river at time t 1.

Home » Physics » Problem » What condition is satisfied if the swimmer desires to swim minimum distance to cross the river? When he crosses a river with shortest time one component of boat velocity is opposite to velocity of water and other component is perpendicular to velocity of water. Therefore if the reverberation time becomes too large it produces an echo. So option 2 is correct. The boat cannot cross the river to an exactly opposite point. Factors that affect the speed of a river include the slope gradient, the roughness of the channel, and tides. Rivers tend to flow from a higher elevation to a lower elevation. The river moves downstream parallel to the banks of the river.

A swimmer crosses a river in shortest distance

On occasion objects move within a medium that is moving with respect to an observer. For example, an airplane usually encounters a wind - air that is moving with respect to an observer on the ground below. As another example, a motorboat in a river is moving amidst a river current - water that is moving with respect to an observer on dry land. In such instances as this, the magnitude of the velocity of the moving object whether it be a plane or a motorboat with respect to the observer on land will not be the same as the speedometer reading of the vehicle. Motion is relative to the observer. The observer on land, often named or misnamed the "stationary observer" would measure the speed to be different than that of the person on the boat. The observed speed of the boat must always be described relative to who the observer is. To illustrate this principle, consider a plane flying amidst a tailwind. A tailwind is merely a wind that approaches the plane from behind, thus increasing its resulting velocity. The resultant velocity of the plane that is, the result of the wind velocity contributing to the velocity due to the plane's motor is the vector sum of the velocity of the plane and the velocity of the wind.

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Similar Questions. Test Series. Students who ask this question also asked Question 1. Topic: Modern Physics. Forum Mechanics A swimmer crosses a river in shortest A swimmer crosses a flowing stream of width. Sit and relax as our customer representative will contact you within 1 business day Continue. Differentiate between plant and animal cell. Your personal AI tutor, companion, and study partner. We will notify you when Our expert answers your question. A boat takes 3 minutes to travel 1 km downstream and 4 minutes to travel the same distance upstream.

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A swimmer crosses a river in shortest distance. A swimmer crosses a flowing stream of width d toand from in time t 1. Login Sign up. Modern Physics. Invite sent! Please add your first playlist. Sign up Login. Log in to watch this video Test Series. You will get reply from our expert in sometime. View all Questions ». Join Numerade as a. While swim Question 3. Their distance becomes km.