A swimmer wishes to cross a 500 m wide river flowing at 5 km/h. His speed with respect to water is 3 km/h. (a) If he heads in a direction making an angle θ with the flow, find the time he takes to cross the river. (b) Find the shortest possible time to cross the river.

Question

Navjyot Kalra · Answer

Sol. a) The vertical component 3 sin θ takes him to opposite side. Distance = 0.5 km, velocity = 3 sin θ km/h Time = Distance/(Velocity ) = 0.5/(3 sin⁡θ ) hr = 10/sin θ min. b) Here vertical component of velocity i.e. 3 km/hr takes him to opposite side. Time = Distance/Velocity = 0.5/3 = 0.16 hr ∴ 0.16 hr = 60 x 16 = 9.6 = 10 minute.

rohan duseja · Answer

the swimmer wont be able to make it only as the speed of river is more as compare to the swimmer he will drown for sure

ankit singh · Answer

Answer V = 3 sin ∅ S = 0 . 5 K M T = 3 sin ∅ 0 . 5 ​ h o u r s = sin ∅ 1 0 ​ min ​ Vertical componenet to opposite side = 3 K M / h r T = 3 0 . 5 ​ = 0 . 1 6 h r = 1 0 min

Alex sharma · Answer

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A swimmer wishes to cross a 500 m wide river flowing at 5 km/h. His speed with respect to water is 3 km/h. (a) If he heads in a direction making an angle θ with the flow, find the time he takes to cross the river. (b) Find the shortest possible time to cross the river.

A swimmer wishes to cross a 500 m wide river flowing at 5 km/h. His speed with respect to water is 3 km/h. (a) If he heads in a direction making an angle θ with the flow, find the time he takes to cross the river. (b) Find the shortest possible time to cross the river.

4 Answers

Answer

V=3sin∅S=0.5KMT=3sin∅0.5hours=sin∅10min

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A swimmer wishes to cross a 500 m wide river flowing at 5 km/h. His speed with respect to water is 3 km/h. (a) If he heads in a direction making an angle θ with the flow, find the time he takes to cross the river. (b) Find the shortest possible time to cross the river.

A swimmer wishes to cross a 500 m wide river flowing at 5 km/h. His speed with respect to water is 3 km/h. (a) If he heads in a direction making an angle θ with the flow, find the time he takes to cross the river. (b) Find the shortest possible time to cross the river.

4 Answers

Answer

V=3sin∅S=0.5KMT=3sin∅0.5​hours=sin∅10​min​

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V=3sin∅S=0.5KMT=3sin∅0.5hours=sin∅10min