Home
Class 12
MATHS
A horse runs along a circle with a speed...

A horse runs along a circle with a speed of `20k m//h` . A lantern is at the centre of the circle. A fence is along the tangent to the circle at the point at which the horse starts. Find the speed with which the shadow of the horse moves along the fence at the moment when it covers 1/8 of the circle in km/h.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    CENGAGE ENGLISH|Exercise SOLVED EXAMPLES|15 Videos

  • APPLICATION OF DERIVATIVES

    CENGAGE ENGLISH|Exercise MATRIX MATCH TYPE|3 Videos

  • APPLICATION OF DERIVATIVES

    CENGAGE ENGLISH|Exercise JEE PREVIOUS YEAR|10 Videos

  • 3D COORDINATION SYSTEM

    CENGAGE ENGLISH|Exercise DPP 3.1|11 Videos

  • APPLICATION OF INTEGRALS

    CENGAGE ENGLISH|Exercise All Questions|142 Videos

Similar Questions

Explore conceptually related problems

If a point moves along a circle with constant speed, prove that its angular speed about any point on the circle is half of that about the centre.

A person runs along a circular path of radius 5 m. If he completes half of the circle find the magnitude of the displacement vector, How far the person ran ?

O is the centre of a circle of radius 8 cm. The tangent at a point A on the circle cuts a line through O at B such that A B=15 c m . Find O B .

Find the equation of the circle whose centre is (h, k) and which passes through the point (p, q) .

Assertion : A body is moving along a circle with a constant speed. Its angular momentum about the centre of the circle remains constant Reason : In this situation, a constant non-zero torque acts on the body.

A person runs along a circular path of radius 5 m. Find the magnitude of the displacement if he runs all the way around the circle ?

A point moves along a circle with speed v=at. The total acceleration of the point at a time when it has traced 1//8th of the circumference is:

A boat which has a speed of 6km/h in still water crosses a river of width 1 km along the shortest possible path in 20 min. the velocity of the river water in km/h is

A article moves in a circle of radius 20 cm with linear speed of 10 m/s. Find the angular velocity

A particle is moving along a circular path with a constant speed 10 ms^-1 .What is the magnitude of the change in velocity of the particle ,when it moves through an angle of 60^@ around the center of the circle ?

CENGAGE ENGLISH-APPLICATION OF DERIVATIVES-ILLUSTRATION
  1. A lamp is 50ftdot above the ground. A ball is dropped from the same he...

    Text Solution

    |

  2. If water is poured into an inverted hollow cone whose semi-vertical ...

    Text Solution

    |

  3. A horse runs along a circle with a speed of 20k m//h . A lantern is at...

    Text Solution

    |

  4. A ladder 5 m long is leaning against a wall. The bottom of the ladder ...

    Text Solution

    |

  5. The radius of the base of a cone is increasing at the rate of 3 cm/min...

    Text Solution

    |

  6. Use differential to approximate sqrt(36. 6)

    Text Solution

    |

  7. Find the approximate value of sin 3.

    Text Solution

    |

  8. Find the approximate volume of metal in a hollow spherical shell wh...

    Text Solution

    |

  9. Find the approximate value of f(5. 001), where f(x)=x^3-7x^2+15.

    Text Solution

    |

  10. Find the approximate change in the volume V of a cube of side x meters...

    Text Solution

    |

  11. Discuss the applicability of Rolles theorem for the following funct...

    Text Solution

    |

  12. If the function f(x)=x^3-6x^2+a x+b defined on [1,3] satisfies Rolles ...

    Text Solution

    |

  13. Show that between any two roots of e^(-x)-cosx=0, there exists at leas...

    Text Solution

    |

  14. How many roots of the equation (x-1)(x-2)(x-3) + (x-1)(x-2)(x-4) + (x-...

    Text Solution

    |

  15. If 2a+3b+6c = 0, then show that the equation a x^2 + bx + c = 0 has at...

    Text Solution

    |

  16. Let f(x) be differentiable function and g(x) be twice differentiable f...

    Text Solution

    |

  17. Let f(x) be differentiable function and g(x) be twice differentiable f...

    Text Solution

    |

  18. Let P(x) be a polynomial with real coefficients, Let a , b in R ,a < ...

    Text Solution

    |

  19. The fucntion f(x)=x^(3)-6ax^(2)+5x satisfies the conditions of Lagrang...

    Text Solution

    |

  20. If f : [ 5, 5] Ris a differentiable function and if f^(prime)(x)does ...

    Text Solution

    |