Home
Class 12
MATHS
A stone is thrown vertically upwards fro...

A stone is thrown vertically upwards from the top of a tower `64m` high according to the law of motion given by `s=48t-16t^(2)`. The greatest height attained by the stone above ground is

A

32 meters

B

64 meters

C

36 meters

D

100 meters

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DEFINITEINTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS:(MCQ)|27 Videos
  • BINOMIAL DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQS|77 Videos

Similar Questions

Explore conceptually related problems

A stone is project vertically upward from the top of a tower of height 60 m. The stone moves according to the law S=(10)t-5t^(2) , where S is in meters and t in second The maximum height , reached by the stone , from the ground , is

A stone is thrown upwards from the top of tower 85 m high , reaches the ground in 5 s. find (i) the greatest height it reaches above the ground (ii) the velocity with which it reaches the ground and (iii) the time taken to reach the maximum height . Take g = 10ms ^(-2) ?

A stone is thrown vertically upwards from the top of a building, with a speed of 14.7m/s. if it returns to the earth in 8s, calculate the height of the building.

A ball is thrown vertically upwards from the top of tower of height h with velocity v . The ball strikes the ground after time.

A stone is thrown vertically upwards. When stone is at a height half of its maximum height, its speed is 10 ms^-1 , then the maximum height attained by the stone is ( g= 10 ms^(-2) )

A stone thrown upwards from the top of a tower 85 m high, reaches the ground in 5s. Find the greatest height above the ground.Take g = 10 ms^(-2)

A stone is thrown vertically upwards with an initial speed u from the top of a tower, reaches the ground with a speed 3 u . The height of the tower is :

A ball is thrown vertically upwards from the top of a tower with a velocity of 10m/s. If the ball falls on the ground after 5 seconds, the height of the tower will be? (use g=10m/ s^(2) )

A stone thrown vertically upwards takes 3 s to attain maximum height. Find the (i) initial velocity of the stone (ii) maximum height attained by the stone (g = 9.8 m s^(-2))

NIKITA PUBLICATION-APPLICATIONS OF DERIVATIVES-MULTIPLE CHOICE QUESTIONS
  1. A particle moves in a straight line so that its velocity at any point ...

    Text Solution

    |

  2. If a particle moves such that the displacement is proportional to the ...

    Text Solution

    |

  3. A stone is thrown vertically upwards from the top of a tower 64m high ...

    Text Solution

    |

  4. A stone, vertically thrown upward is moving in a line. Its equation of...

    Text Solution

    |

  5. A bullet is shot horizontally and its distance s cms at time t sec is ...

    Text Solution

    |

  6. If a bullet is shot horizontally and its distance s cm at time t secon...

    Text Solution

    |

  7. A bullet is shot horizontally and its distance s cms at time t sec is ...

    Text Solution

    |

  8. A particle moves along the curve 6y = x^3 + 2. Find the points on the...

    Text Solution

    |

  9. A point on the parabola y^2=18x at which the ordinate increases at twi...

    Text Solution

    |

  10. A point source of light is hung 30 feet directly above a straight hori...

    Text Solution

    |

  11. A point source of light is hung 30 feet directly above a straight hori...

    Text Solution

    |

  12. A ladder of length 20 feet rests against a smooth vertical wall. The l...

    Text Solution

    |

  13. A ladder 10 m long rests against a vertical wall with the lower end on...

    Text Solution

    |

  14. Aladder of 5 m long rest with one end against a vertical wall of heigh...

    Text Solution

    |

  15. A ladder is resting with a vertical wall at an angle of 30^(@). If a m...

    Text Solution

    |

  16. For a gas equation PV=100, volume V is 25 cm^(3), pressure P is measur...

    Text Solution

    |

  17. A ship starts from a port at 12 noon and travels due east with a speed...

    Text Solution

    |

  18. The sides of an equilateral triangle are increasing at the rate of ...

    Text Solution

    |

  19. The length x of a rectangle is increasing at the rate of 3 cm/sec. and...

    Text Solution

    |

  20. The side of a square is increasing at the rate of 0.5 cm/sec. Find the...

    Text Solution

    |