Home
Class 10
MATHS
If a stone falls s ft in t seconds from ...

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 ?

Text Solution

Verified by Experts

The correct Answer is:
256 ft
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

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 .

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?

The velocity of a particle moving in a straight path is given by v=16t-4t^(2) where v and t measured in ft/s and second units respectively. If the initial displacement be 10 ft, find the displacement of the particle in t seconds.

If the acceleration of a particle at time t seconds be 1.2t^(2)ft//s^(2) and velocity of the particle at time 2 seconds be 2.2 ft/s, then find its velocity at time 5 seconds.

The acceleration of a particle moving along a straight line is (6t^(2)-3t)cm//s^(2) , at time t seconds. If the velocity of the particel at time 2 seconds be 10cm/s, find its velocity at time t seconds.

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 ball goes through a distance of s meters in t seconds, where s = 8t - 10 t^(2) , fing the velocity of the ball at the end of 2 seconds.

A lamp is 50 ft above the ground. A ball is dropped from the same height from a point 30 ft away from the light pole. If ball falls a distance s=16 t^2 ft in t second, then how fast is the shadow of the ball moving along the ground 1/2 s later?

A stone is falling from a mountain. The velocity of the stone is given by V = 9.8t. Draw its graph and find the velocity of the stone ‘4’ seconds after start.

A particle starts from rest with a uniform acceleration and travels 57 cm in the 10th second. Find out this distance travelled in 12 s and the velocity at that instant.

CALCUTTA BOOK HOUSE-VARIATION-EXERCISE
  1. The volume of a right circualr cylinder varies as the square of the r...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. 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

    |

  20. If x prop yz^2 ,y prop pq^2 and zoo q/p then prove that q^4 prop px.

    Text Solution

    |