Home
Class 12
MATHS
A stone projected vertically upward mov...

A stone projected vertically upward moves according to the law s = `100t-16t^2`. The maximum height reached is

A

`520//3` unit

B

`625//4` unit

C

653 unit

D

560 unit

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 1A (APPROXIMATIONS AND ERRORS)|67 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

A stone projected vertically upward moves according to the law s=100t-16t^2 . The acceleration at t=2 sec 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 particle P is projected vertically upward from a point A. Six seconds later, another particle Q is projected vertically upward from A. Both P and Q reach A simultaneously. The ratio of maximum heights reached by P and Q=64:25.Find the velocity of the projection of Q in m/s.

A particle moving according to the law s=6t-1/2t^3 . At what time its velocity vanishes ?

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 stone thrown upwards, has its equation of motion s=490t-4.9t^2 . The the maximum height reached by it is

A particle is projected vertically upward. Its height 'h' at time 't' has the relation h=60t-16t^2 . The velocity at which it hits the ground is

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 2 SET-4 (SPECIAL TYPE QUESTIONS)
  1. A stone projected vertically upward moves according to the law s = 10...

    Text Solution

    |

  2. A : In triangle ABC if a,A and R are fixed then Deltaa *sec A +Deltab...

    Text Solution

    |

  3. A : if semivertical angle of a cone is 45^@ and height of the cone is ...

    Text Solution

    |

  4. Assertion (A) : If semi vertical angle of a cone is 45^(@) and height ...

    Text Solution

    |

  5. A : The gradiant of the curve y=x^3-3x^2-2x+7 at (1,3) is -5. R : T...

    Text Solution

    |

  6. A : Area of triangle formed by tangent to the curve xy=c^2 with coordi...

    Text Solution

    |

  7. The curves y=x^3-3x^2-8x-4,y=3x^2+7x+4 touch at the point (-1, 0). The...

    Text Solution

    |

  8. A : The curve y=x^2,6y=7-x^3 cut orthogonally at (1,1) . R : Two cur...

    Text Solution

    |

  9. A :A particle moves along a line is given by s=(t^3)/3 -3t^2+8t+5 .it...

    Text Solution

    |

  10. A : The smallest value of x^2-3x+3 in [-3,3/2] is 3/4 R: The smalles...

    Text Solution

    |

  11. A : The function f(x) =2x^3-3x^2-12x+8 has minimum value R: For the ...

    Text Solution

    |

  12. A : If x+y =12 then the minimum value of x^2+y^2 is 72 R : If x+y=k ...

    Text Solution

    |

  13. Observe the following statements : Asseration (A) : f(x)=2x^3-9x^2+1...

    Text Solution

    |

  14. The function f(x) =xe^(-x)(x in R) attains a maxium value at x= …..

    Text Solution

    |

  15. Consider the functions, f(x) = |x -2 | + |x - 5 |, x in R Statement-1...

    Text Solution

    |

  16. Let a, b in R be such that the function f given by f(x)= ln |x|+bx^(2)...

    Text Solution

    |