Home
Class 11
PHYSICS
A man is crossing a river flowing with v...

A man is crossing a river flowing with velocity of 5 m/s. He reaches a point directly across the river at a distance of 60 m in 5 sec. His velocity in still water should be

A

`12m//s`

B

`13m//s`

C

`5m//s`

D

`10m//s`

Text Solution

Verified by Experts

The correct Answer is:
B

The resultant velocity should be in the direction of resultant displacement

So time`=60/sqrt(v_(m)^(2)-5^(2))=5 :' v_(rm)=13 m//s`
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    ALLEN |Exercise EXERCISE-02|57 Videos
  • KINEMATICS

    ALLEN |Exercise EXERCISE-03|6 Videos
  • KINEMATICS

    ALLEN |Exercise EXERCISE-2|89 Videos
  • ERROR AND MEASUREMENT

    ALLEN |Exercise Part-2(Exercise-2)(B)|22 Videos
  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN |Exercise BEGINNER S BOX-7|8 Videos

Similar Questions

Explore conceptually related problems

A man is crossing a river flowing with velocity of 5m//s . He reaches a point directly across at a distance of 60m in 5 sec. His velocity in still water should be

A man wishes to swim across a river 40 m wide flowing with a speed of 3m/s. such that he reaches the point just infront on the other bank in time not greater than 100s. The angle made by the direction he swims and river flow direction is :-

A vehicle of 100 kg is moving with velocity of 5 m/s. How much force will be required to stop in 1/10 sec ?

A motor boat is to reach at a point 30^@ upstream on the outer side of a river flowing with velocity 5 ms^(-1) . The velocity of motor boat with respect to water is 5(sqrt3) ms^(-1) . The driver should steer the boat at an angle.

A 150 m long train is moving in north direction with a velocity of 5m/s and a parrot is also moving in north direction with a velocity of 10 m/s, then find out Distance travel by the parrot during the crossing.

A car is moving with a velocity of 10 m/s. Suddenly driver sees a child at a distance of 30 m and he applies the brakes, it produced a uniform retardation in car and car stops in 5 second. Find (mass of car=1000 kg) the stopping distance of car will the car hit the child the retardation in car resistive force on car

A river is flowing with velocity 5km//hr as shown in the figure. A boat start from A and reaches the other bank by covering shortest possible distance. Velocity of boat in still water is 3km//hr . The distance boat covers is.

A boat has to cross a river. It crosses the river by making an angle of 60^(@) with the bank of the river due to the stream of the river and travels a distance of 600m to reach the another side of the river. What is the width of the river?

Two swimmers start a race. One who reaches the point C first on the other bank wins the race. A makes his strokes in a direction of 37^(0) to the river flow with velocity 5km//hr relative to water. B makes his strokes in a direction 127^(0) to the river flow with same relative velocity.River is flowing with speed of 2km//hr and is 100m wide.speeds of A and B on the ground are 8km//hr and 6km//hr respectively.

A river 400 m wide is flowing at a rate of 2.0 m//s. A boat is sailing at a velocity of 10.0 m//s with respect to the water In a direction perpendicular to the river. (a) Find the time taken by the boat to reach the opposite bank. (b) How far from the point directly opposite to the starting point does the boat reach the opposite bank?

ALLEN -KINEMATICS-EXERCISE-01
  1. A boat has a velocity 4m//s towards east with respect to river is flow...

    Text Solution

    |

  2. Raindrops are falling vertically with a velocity 10 m//s. To a cyclist...

    Text Solution

    |

  3. A man is crossing a river flowing with velocity of 5 m/s. He reaches a...

    Text Solution

    |

  4. A boat which has a speed of 5km per hour in still water crosses a rive...

    Text Solution

    |

  5. A river is flowing from east to west at a speed of 5m/min. A man on so...

    Text Solution

    |

  6. Two particles P and Q are moving with velocity of (hat(i)+hat(j)) and ...

    Text Solution

    |

  7. From a motorboat moving downstream with a velocity 2 m//s with respect...

    Text Solution

    |

  8. A small ball is projected up a smooth inclined plane with an initial s...

    Text Solution

    |

  9. Graph I and II give coordinates x(t) and y(t) of a particle moving in ...

    Text Solution

    |

  10. Particle is dropped from the height of 20 m from horizontal ground. A ...

    Text Solution

    |

  11. The total speed of a projectile at its greater height is sqrt(6/7) of ...

    Text Solution

    |

  12. A projectill is projected at an angle (alpha gt 45^(@)) with an initia...

    Text Solution

    |

  13. A particle is projected from a horizontal plane (x -z plane) such that...

    Text Solution

    |

  14. A particle is dropped from a height H.The de-Broglie wavelength of the...

    Text Solution

    |

  15. A particle is projected from a tower as shown in figure, then find the...

    Text Solution

    |

  16. In the fig., the ends P and Q of an unstrechable string move downwards...

    Text Solution

    |

  17. A block is dragged on a smooth plane with the help of a rope which mov...

    Text Solution

    |

  18. A weightless inextensible rope rest on a stationary wedge forming an a...

    Text Solution

    |

  19. If acceleration of M is a then acceleration of m is

    Text Solution

    |

  20. If accelration of A is 2m//s^(2) towards left and accleration of B is ...

    Text Solution

    |