Home
Class 11
PHYSICS
A man can swim in stationary water veloc...

A man can swim in stationary water velocity `v_(m)` and river is flowing with a velocity `v_(w)`. If the man wants to cross the river in minimum possible time, the angle at which the boat reaches the distance travelled by the man is .

A

`sin^(-1) ((v_(m))/(v_(w)))`

B

`sin^(-1) ((v_(w))/(v_(m)))`

C

`tan^(-1) ((v_(w))/(v_(m)))`

D

`cos^(-1) ((v_(w))/(v_(m)))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-VII)(Relative Motion) (LEVEL-II) (Straight Objective Type Questions)|3 Videos
  • KINEMATICS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-VII)(Relative Motion) (LEVEL-II) (More than One correct answer Type Questions)|2 Videos
  • KINEMATICS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-VI) (Horizontal Projectile) (LEVEL-I) (Straight Objective Type Questions)|10 Videos
  • HORIZONTAL CIRCULAR MOTION

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED) Integer Type Questions)|3 Videos
  • KINETIC THEORY OF GASES

    AAKASH SERIES|Exercise Practice Exercise|15 Videos

Similar Questions

Explore conceptually related problems

Show that a boat must move at an angle with respect to river water in order to cross the river in minimum time .

A man can swim at the rate of 5 km/h in still water. A river 1 km wide flows at the rate of 3 km/h. The man wishes to swim across the river directly opposite to the starting point. (a) Along what direction must the man swim? (b) What should be his resultant velocity? (c) How much time he would take to cross?

AAKASH SERIES-KINEMATICS-PRACTICE SHEET (EXERCISE-VII)(Relative Motion) (LEVEL-I) (Straight Objective Type Questions)
  1. A stone is dropped freely, while another thrown vertically downward wi...

    Text Solution

    |

  2. A stone is dropped from to of a tower 300 m high and at the same time ...

    Text Solution

    |

  3. Two cars 1 & 2 starting from rest are moving with speeds V(1) and V(2)...

    Text Solution

    |

  4. A body moving with a speed 10ms^(-1) due north takes a left turn throu...

    Text Solution

    |

  5. A person is travelling in a train moving due south with velocity 80 k...

    Text Solution

    |

  6. A person travelling in car along East with speed 'u' observes the velo...

    Text Solution

    |

  7. A train of length 200m travelling at a speed of 30ms^(-1) overtakes an...

    Text Solution

    |

  8. A man can swim in stationary water velocity v(m) and river is flowing...

    Text Solution

    |

  9. A man who can swin with a velocity v(b) in still water wants to cross ...

    Text Solution

    |

  10. A river is flowing from west to east at a speed of 5 m/s. A man on th...

    Text Solution

    |

  11. A man can row a boat with a velocity of v(b) in stationary water. If w...

    Text Solution

    |

  12. Velocity of boat in still water is 13m/s. If water flows in a river wi...

    Text Solution

    |

  13. A man is trying to cross a river flowing at a speed of 5ms^(-1) to hav...

    Text Solution

    |

  14. The velocity of a motor boat with respect to still water is 7ms^(-1) a...

    Text Solution

    |

  15. Rain drops are falling vertically downward with a velocity 4kmph. The ...

    Text Solution

    |

  16. A man is travelling at 10.8 kmph in a topless car on a rainy day. He h...

    Text Solution

    |

  17. A man standing on a road has to hold his umbrella at 30^(@) with the ...

    Text Solution

    |

  18. Rain drops are falling vertically down wards at 5sqrt(2) m/s. A man r...

    Text Solution

    |

  19. A staionary man observes that the rain is falling vertically downward....

    Text Solution

    |

  20. It is rainning vertically downwards. By how many times that a person s...

    Text Solution

    |