Home
Class 11
PHYSICS
The velocity of a boat in still water is...

The velocity of a boat in still water is `10 m//s`.If water flows in the river with a velocity of `6 m//s` what is the difference in times taken to cross the river in the shortest path and the shortest time.The width of the river is `80 m`.

A

`1s`

B

`10s`

C

`sqrt3/2s`

D

`2s`

Text Solution

Verified by Experts

The correct Answer is:
D

`t_(1)=d/sqrt(V_(B)^(2)-V_(W)^(2)),t_(2)=d/V_(B)`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PLANE

    NARAYNA|Exercise NCERT BASED QUES. SINGLE ANS.|8 Videos
  • MOTION IN A PLANE

    NARAYNA|Exercise NCERT BASED QUES. MORE THAN ONE OPTION|6 Videos
  • MOTION IN A PLANE

    NARAYNA|Exercise Level-II(C.W)|45 Videos
  • MECHANICAL PROPERTIES OF SOLIDS

    NARAYNA|Exercise LEVEL-II (H.W)|24 Videos
  • MOTION IN A STRAIGHT LINE

    NARAYNA|Exercise Level 2 H.W|29 Videos

Similar Questions

Explore conceptually related problems

Velocity of boat in still water is 13 m/s. If water flows ina river with a velocity of 5 m/s. What is the difference in times taken by him to cross the river in the shortest path and in the shortest time. If the width of the river is 10 m.

A river flows at the rate of 3km/hr and a person can row a boat at a speed of 5km/hr in still water.If the difference between the times taken to cross the river by the shortest path and the quickest path be 4 minutes,the width of the river is (in km)

A river is flowing towards with a velocity of 5 m s^-1 . The boat velocity is 10 ms^-1 . The boat crosses the river by shortest path. Hence,

A swimmer can swim in still water with a speed of 2.5 m/s. What is the shortest time taken by him to swim across the river?

47.A man can row a boat with 4kmph in still water.If he is crossing a river where the current is 8kmph .The time take to cross the river in shortest path is (k)/(sqrt(3))hr .Where k ' is (width of the river is 8km )

The velocity of boat relative to water is 4 m/sec . The velocity of water relative to ground is 8m/sec . In what direction boatman aims the boat to cross the river in minimum drift distance method.

The speed of a swimmer in still water is 20 m//s. The speed of river water of river water is 10 m//s and due east. If he is standing on the south bank and wishes to cross the river along the shortest path the angle at which he should make his stroke w.r.t. noth is given by :-

A swimmer can swim in still water with speed v and the river is flowing with speed v//2 . What is the ratio of the time taken to swimming across the river in shortest time to that of swimming across the river over the shortest distance ?

NARAYNA-MOTION IN A PLANE-Level-III(C.W)
  1. Rain, pouring down at an angle alpha with the vertical has a speed of ...

    Text Solution

    |

  2. A man can swim directly a stream of width 100m in 4 minutes, when ther...

    Text Solution

    |

  3. The velocity of a boat in still water is 10 m//s.If water flows in the...

    Text Solution

    |

  4. A boat takes 4 hrs to travel certain distance in a river in down strea...

    Text Solution

    |

  5. A boatman finds that he can save 6 s in crossing a river by the quicke...

    Text Solution

    |

  6. A boy playing on the roof of a 10 m high building throws a ball with a...

    Text Solution

    |

  7. At a given instant of time the position vector of a particle moving in...

    Text Solution

    |

  8. A projectile is given an initial velocity of (hat(i)+2hat(j)) The Car...

    Text Solution

    |

  9. A projectile has initially the same horizontal velocity as it would ac...

    Text Solution

    |

  10. A ball is thrown from a point with a speed V(0),at an angle of project...

    Text Solution

    |

  11. The coach throws a baseball to a player with an initial speed at 20ms^...

    Text Solution

    |

  12. If a stone is to hit at a point which is at a distance d away and at a...

    Text Solution

    |

  13. If a projectile crosses two walls of equal height h symmetrically as s...

    Text Solution

    |

  14. A particle is dropped from a height h.Another particle which is initia...

    Text Solution

    |

  15. A ball is projected from the top of a tower with a velocity 3hati+4hat...

    Text Solution

    |

  16. A ball is projected from the top of a tower with a velocity 3hati+4hat...

    Text Solution

    |

  17. A cricketer of height 2.5 m thrown a ball at an angle of 30^(@) with t...

    Text Solution

    |

  18. A particle when fired at an angle theta=60^(@) along the direction of ...

    Text Solution

    |

  19. A hiker stands on the edge of a cliff 490 m above the ground and throw...

    Text Solution

    |

  20. A hiker stands on the edge of a cliff 490 m above the ground and throw...

    Text Solution

    |