Home
Class 12
MATHS
A stone is thrown in upward direction. I...

A stone is thrown in upward direction. Its equation is `S=80 t-16 t^(2)`. The time to attain maximum height is …………. second.

A

`2.5`

B

2

C

`3.5`

D

4

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK|51 Videos

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)|24 Videos

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|85 Videos

  • ANNUAL EXAMINATION :SAMPLE PAPER

    KUMAR PRAKASHAN|Exercise PART-B ( SECTION-C)|10 Videos

  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER ( SECTION -D)|2 Videos

Similar Questions

Explore conceptually related problems

A ball is thrown in vertically upward direction. It returns back to the same position in 2s. Then the maximum height achieved by the ball is ...... (Take g = 9.8 ms^(-2) )

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) )

An object is thrown in vertically upward direction. The time to reach maximum height is ………..

An object is thrown in vertical upward direction with velocity 'u' then the maximum height attained by the object would be....

The XI^(th) class students of ALLEN designed a rocket. The rocket was launched from cycle stand of ALLEN straight up into the air. At t = 0 , the rocket is at y = 0 with V_(y) (t = 0) = 0 . The velocity of the rocket is given by: V_(y) = (24t - 3t^(2))m//s for 0 le t le t_(b) where t_(b) is the time at which fuel burns out. vertically upward direction is taken as positive. (g = 10m//s^(2)) The time taken for rocket to reach its maximum height is

A stone is throuwn in a vertically upward direction with a velocity of 5 ms ^(-1). If the acceleration of the stone during its motion is 10 ms ^(-2) in the downword direction, what will be the height attained by the stone and how much time will it take to reach there ?

KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -TEXTBOOK BASED MCQS
  1. A tangent drawn to the curve x=e^(t)cos t, y=e^(t) sin t at t=(pi)/(4)...

    Text Solution

    |

  2. The approximate value of sin^(-1)(0.51) is ………..

    Text Solution

    |

  3. A stone is thrown in upward direction. Its equation is S=80 t-16 t^(2)...

    Text Solution

    |

  4. If there is an error 4% in the area of circle, then the error in radiu...

    Text Solution

    |

  5. An iron ball having 10 cm radius is covered equally with Ice. Ice is m...

    Text Solution

    |

  6. If x is a real number then maximum value of (3x^(2)+9x+17)/(3x^(2)+9x+...

    Text Solution

    |

  7. The diagonal of a suare is increasing at the rate of 0.5 cm/sec. when ...

    Text Solution

    |

  8. If the curves ax^(2)+by^(2)=1 and a'x^(2)+b'y^(2)=1 are orthogonally t...

    Text Solution

    |

  9. The tangent to the cureve xy+ax+by=0 at (1, 1) makes an angle with X -...

    Text Solution

    |

  10. The maximum value of 27^(cos(2x))xx81^(sin(2x)) is …………

    Text Solution

    |

  11. A balloon, which always remains spherical, has a variable diameter (3)...

    Text Solution

    |

  12. The function f (x) is differentiable for every x. f(1)=-2 and f'(x)ge ...

    Text Solution

    |

  13. The side of an equilateral triangle expands at the rate of sqrt(3) cm/...

    Text Solution

    |

  14. The distance s moved by a particle in time t is given by s=t^(3)-6t^(2...

    Text Solution

    |

  15. The volume of a sphere is increasing at the rate of pi cm^(2)//sec. Th...

    Text Solution

    |

  16. There is 4% error in measuring the period of a simple pendulum. The ap...

    Text Solution

    |

  17. The height and radius of a cylinder are equal. An error of 2% is made ...

    Text Solution

    |

  18. The tangent to (at^(2), 2at) is perpendicular to X - axis at

    Text Solution

    |

  19. The line y=mx+1 touches y^(2)=4x, if m = …………

    Text Solution

    |

  20. Find the equation of normal to the curve x^((2)/(3))+y^((2)/(3))=a^((2...

    Text Solution

    |