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A man wishes to cross a river in a boat. If he crosses the river in minimum time, he takes 10 min with a drift of 120 m. If he crosses the river taking the shortest route, he takes 12.5 min. Find the velocity of the boat with respect to water.

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Important Questions on Motion in a Plane

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I NEET>Chapter 4 - Motion in a Plane>TOPICWISE QUESTIONS>Q 36
What unit is vector perpendicular to the following vectors, 2i^+2j^−k^ and 6i^−3j^+2k^?
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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I NEET>Chapter 4 - Motion in a Plane>TOPICWISE QUESTIONS>Q 132
A boat which has a speed of 5 km h-1 in still water crosses a river of width 1 km along the shortest path in 15 min. The velocity of the river water is
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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I NEET>Chapter 4 - Motion in a Plane>TOPICWISE QUESTIONS>Q 133
A boat is sent (aimed) across (perpendicular) the water flow in a river with a velocity 4 km h-1. If the resultant velocity of the boat is 5 km h-1, then the velocity of water in the river is
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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I NEET>Chapter 4 - Motion in a Plane>TOPICWISE QUESTIONS>Q 134
A river 500 m wide is flowing with a current of 5 km h-1. A boat starts from one bank of the river, and wishes to cross the river at a right angle to the stream's direction. Boatman can row the boat at 13 km h-1. The time he takes to cross the river is
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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I NEET>Chapter 4 - Motion in a Plane>TOPICWISE QUESTIONS>Q 135
A car is going eastwards with a velocity of 8 m s-1. To the passengers in the car, a train appears to be moving northwards with a velocity 15 m s-1. What is the actual velocity of the train?