Home
Class 12
MATHS
A stone is thrown vertically up and the ...

A stone is thrown vertically up and the height `s` reached in time `t` is given by `s=80t-16t^2`. The stone reaches the maximum height in time `t` =

A

2

B

2.5

C

3

D

3.5

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D (MEAN VALUE THEOREMS)|28 Videos
  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1E (MAXIMA AND MINIMA)|221 Videos
  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B (TANGENT AND NORMAL)|205 Videos
  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos
  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

The distance travelled by a particle in time t is given by s=10t-7t^3 . The maximum velocity is

An object is thrown vertically upward with a speed of 30 m/s. The velocity of the object half-a-second before it reaches the maximum height is

A stone projected vertically upward moves according to the law s=48t-16t^2 . The time taken by the stone to reach the point of projection is

A body is thrown vertically up reaches a maximum height of 78.4 m. After what time it will reach the ground from the maximum height reached ?

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1C (RATE OF CHANGE)
  1. A stone is projected vertically upwards with an intial velocity 112 ft...

    Text Solution

    |

  2. A stone projected vertically upward moves according to the law s=48t-1...

    Text Solution

    |

  3. A stone is thrown vertically up and the height s reached in time t is ...

    Text Solution

    |

  4. The displacement of a body of mass 100kg in a retilinear motion is giv...

    Text Solution

    |

  5. A car starts from rest and attains the speed of 10 km/hr repectively a...

    Text Solution

    |

  6. A particle moves on a line according to the law s=at^2+bt+c. If the di...

    Text Solution

    |

  7. The point pis moving with uniform velocity v along a straight line AB....

    Text Solution

    |

  8. If the rate of decrease of x^2/2-2x+5 is twice the decrease of x, then...

    Text Solution

    |

  9. If the rate of change in y=2x^3+3x^2-30x+7 is 6 times the rate of chan...

    Text Solution

    |

  10. At the point (2, 5) on the curve y=x^3-2x+1 the gradient of the curve ...

    Text Solution

    |

  11. The point on the parabola x^2=8y for which the abscissa and ordinate c...

    Text Solution

    |

  12. The point on the parabola y^2=4x for which the abscissa and ordinate c...

    Text Solution

    |

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

    Text Solution

    |

  14. A particle moves along the curve y=x^2+2x. Then the point on the curve...

    Text Solution

    |

  15. The point on the circle x^2+y^2=2 at which the abscissa and ordinate i...

    Text Solution

    |

  16. At what value of an angle the rates of change in sine and tangent of t...

    Text Solution

    |

  17. A point is moving on y=4-2x^2. The x-coordinates of the point is decer...

    Text Solution

    |

  18. If the rate of change in the radius of a circle is 0.02 cm/sec, then t...

    Text Solution

    |

  19. The radius of a circular plate is increasing at the rate of 0.01 cm/se...

    Text Solution

    |

  20. The radius of the circular disc increases at a uniform rate of 0.025 c...

    Text Solution

    |