Home
Class 10
MATHS
The distance through which a heavy body ...

The distance through which a heavy body falls from rest varies as the square of the time of fall . If the body falls 400 feet in 5 seconds then find the distance through which it will fall in 10 seconds and in the tenth second .

Text Solution

Verified by Experts

The correct Answer is:
1600 ft,304ft,
Promotional Banner

Topper's Solved these Questions

  • VARIATION

    CALCUTTA BOOK HOUSE|Exercise EXERCISE|59 Videos

  • TRIGONOMETRIC RATIOS OF COMPLEMENTARY ANGLES

    CALCUTTA BOOK HOUSE|Exercise EXERCISE|28 Videos

Similar Questions

Explore conceptually related problems

A heavy particle while falling freely from rest under gravitational altraction , the distance through which it falls varies directly as the square of the time taken to fall up to the distance . The particle falls through 125 metres in 5 seconds . Through what distance will it fall in 10 seconds ? What distance will it traverse in the 10th second?

If a stone falls s ft in t seconds from rest s propt^2 . If it is observed to fall 64 ft in 2 seconds , find how far it falls in 4 seconds ?

What is the loss of KE of a freely falling body of mass m , during the t th second ?

A body falling freely from a certain height travels half of that height in the last second of its motion. Find the height from which it stated to fall.

The time required for an elevater to life a weight varies directly with the weight and the distance through which it is to be lifted and inversely as the power of the motor. If its takes 30 seconds for a 10 hp moter to lift 100 lbs through 50 feet, what size of moter is requiered to lift 800 Ibs in 40 seconds through 40 feet?

A particle starts from the origin and moves along a straight line. If the velocity of the particle at time t seconds be 10t cm/s, find the distance traversed during first 4 seconds after the start.

A body falls freely from a certain height. It takes times t_(1) and t_(2) to travel the first and the first and the last half -distances, respectively. Then

A body of mass 10 kg is moving with a velocity of 100 m/s. find the force needed to stop it in 5 seconds.

A body freely falling from rest has a velocity v after it falls through a height of h. The distance it has to fall down for its velocity to become 2 v is

CALCUTTA BOOK HOUSE-VARIATION-EXERCISE
  1. The volume of a pyramid varies jointly as the height and the area of...

    Text Solution

    |

  2. The volume of a right circualr cylinder varies as the square of the r...

    Text Solution

    |

  3. The distance through which a heavy body falls from rest varies as the ...

    Text Solution

    |

  4. If a stone falls s ft in t seconds from rest s propt^2 . If it is obs...

    Text Solution

    |

  5. Pressure (=P)in a liquid varies as the depth (=d) when the density (=D...

    Text Solution

    |

  6. The time of going from one place to another varies directly as the dis...

    Text Solution

    |

  7. A locomotive engine without wagons can go 35 km per hour and its speed...

    Text Solution

    |

  8. Consumption of coal by an engine varies as the square of its speed. Wh...

    Text Solution

    |

  9. A piece of diamond is broken into three pieces, the weights of the pie...

    Text Solution

    |

  10. Three rings made of gold and set with diamonds are of the same weight...

    Text Solution

    |

  11. The value of diamond varies as the square of their weights and the squ...

    Text Solution

    |

  12. The price of a diamond is rs 2000 . The diamond is broken into to equ...

    Text Solution

    |

  13. A valuable piece of stone whose price is rs 15600 breaks into three pi...

    Text Solution

    |

  14. If x prop (1)/(y^2) then in what ratio x changes when y changes at a r...

    Text Solution

    |

  15. if x prop z and y prop z, then xy prop z .

    Text Solution

    |

  16. if (px^3+qy^3) prop (ax^3+by^3),then show that x prop y

    Text Solution

    |

  17. If (x^6+(1)/(y^6)) prop (x^6-(1)/(y^6)) , then prove that y prop 1/x .

    Text Solution

    |

  18. If (1)/(y^n)+(1)/(z^n)prop (1)/(Y^n+z^n) then prove that y prop z .

    Text Solution

    |

  19. if x prop (z)/(y^2) and z^2 prop (y) /(x) then prove that x prop (1)/(...

    Text Solution

    |

  20. If a prop b^4 ,b^5 prop c^6 , c^7 prop d^8 and d^9 prop p^4 then prov...

    Text Solution

    |