Home
Class 11
MATHS
A man on a wharf 20 mt above the water l...

A man on a wharf 20 mt above the water level, pulls in a rope to which a boat is attached, at the rate of 4 mt per second. At what rate is the boat approaching the shore, when there is still 25 mt of rope out.

Text Solution

Verified by Experts

The correct Answer is:
2/3 m/sec
Promotional Banner

Topper's Solved these Questions

  • RATE OF CHANGE

    AAKASH SERIES|Exercise Exercise 6.1 (SHORT ANSWER QUESTIONS)-II|12 Videos
  • RATE MEASUREMENT

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - 1) (LEVEL - 1) (STRAIGHT OBJECTIVE TYPE QUESTION)|43 Videos
  • REAL FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE-1|34 Videos

Similar Questions

Explore conceptually related problems

An inverted cone has a depth of 10 cm and a base of radius 5 cm. Wateer is poured in to it at the rate of 1.5 cubic cm per second. The rate at which water is rising when the depth is 4 cm is

A stone is dropped into a quiet pond and waves move in circles outward from the place where it strikes, at a speed of 30 cm per second. At the instant when the radius of the wave ring is 50 mt, find the rate of increase in the area and in the circumference of the wave ring.

A rectangular vessel is of 2 mt long, 0.5 mt breadth and 1 mt deep. If water flows in at the rate of 900 cubic cm per sec, then the rate of increase of water level when 25 cm deep is

The rate of cooling of water in a calorimeter is one-tenth of a degree per second when its teniperature is 40^(0) C above that of the sorroun- dings. What is the rate of cooling and lteat per second when the excess temperature over the surroudings is 30^(@) C ? Thermal capacity of water and calorimater is 4600 J //^(0) C .

A water tank has the shape of an inverted right circular cone with its axis vertical and vertext lowermost. Its semi-vertical angle is tan^(-1)(0.5) . Water is poured into it at a constant rate of 5 cubic metre per hour. Find the rate at which the level of the water is rising at the instant when the depth of water in the tank is 4m.

A rectangular vessel is of 2 mt long. 0.5 mt breadth and I mt deep. If water flows in at rate of 900 cubic cm per sec, then the rate of increase of water level when 25 cm deep is

A conical vesel of height 10 mts and radius 5 units.is being filled water at uniform rate of 3/2 cu.mts/min. The rate at which the level of water rises when the depth of water in the vessle is 4mts is

AAKASH SERIES-RATE OF CHANGE-Advanced Subjective Type Questions
  1. When a circular oil drop expands on water, its area increases at the u...

    Text Solution

    |

  2. A ladder 20 feet long whose top is resting against a vertical wall on ...

    Text Solution

    |

  3. A rod of 10 feet long moves with its ends A and B always on the axes o...

    Text Solution

    |

  4. A man on a wharf 20 mt above the water level, pulls in a rope to which...

    Text Solution

    |

  5. An aeroplane is flying horizontally at an altitude of 3000 ft directly...

    Text Solution

    |

  6. A person of height 180 cm starts from a lamp post height 450 cm and wa...

    Text Solution

    |

  7. The length x of a rectangle is decreasing at the rate of 5 cm/minute a...

    Text Solution

    |

  8. The side of a square increases at the rate of lem per second. Find the...

    Text Solution

    |

  9. The side of an equilateral triangle increases at a uniform rate of 0.0...

    Text Solution

    |

  10. The side of a cube increases at a uniform rate of 0.05cm per sec. Find...

    Text Solution

    |

  11. Gas is leaking out of a spherical balloon at the rate of 1800 cubic cm...

    Text Solution

    |

  12. The radius of a sphere increases at the rate of 0.03 cm/sec. Find the ...

    Text Solution

    |

  13. The radius of a circle is increasing at the rate of 0.7 cm/s. What is ...

    Text Solution

    |

  14. If the volume of a spherical ball is increasing at the rate of 4pi cc/...

    Text Solution

    |

  15. The side of a cube is equal to the radius of a sphere. If the side and...

    Text Solution

    |

  16. The base radius of a cylindrical vessel full of oil is 30 cm. Oil is d...

    Text Solution

    |

  17. The diameter and the altitude of a circular cylinder are found at a ce...

    Text Solution

    |

  18. The pressure p and the volume of a gas are connected by the relalson p...

    Text Solution

    |

  19. A particle is moving in a straight line so that after t seconds its di...

    Text Solution

    |

  20. A balloon which always remains spherical has a variable diameter 3/2 (...

    Text Solution

    |