Home
Class 12
MATHS
A missile fixed from ground level raises...

A missile fixed from ground level raises x metres vertically upwards in t seconds and `x = 100t - (25)/(2) t^(2)`. Find
The maximum height reached

Text Solution

Verified by Experts

The correct Answer is:
200m
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    PREMIERS PUBLISHERS|Exercise Problems For Practice (Choose the correct answer)|40 Videos

  • APPLICATIONS OF INTEGRATION

    PREMIERS PUBLISHERS|Exercise Answer the following questions.|18 Videos

Similar Questions

Explore conceptually related problems

A missile fixed from ground level raises x metres vertically upwards in t seconds and x = 100t - (25)/(2) t^(2) . Find The time when height of the missile is max

A missile fixed from ground level raises x metres vertically upwards in t seconds and x = 100t - (25)/(2) t^(2) . Find Initial velocity

A missile fixed from ground level raises x metres vertically upwards in t seconds and x = 100t - (25)/(2) t^(2) . Find Velocity with which the missile strikes the ground.

A particle is fired straight up from the ground to each a height of x feet in t seconds, where x (t) =128t-16t^(2) . (1) Compute the maximum height of the particle reached. (2) What is the velocity when the particle hits the ground ?

A car starts from a point P at time t = 0 seconds and stops at point Q. The distance x, in metres, covered by it, in t seconds is given by x=t^(2) (2-(t)/(3)) Find the time taken by it to reach Q and also find distance between P and Q.

A stone is thrown up vertically. The height it reaches at time t seconds is given by x=80t-16t^(2) . The stone reaches the maximum height in time t seconds is given by

A ball is thrown vertically upwards, moves according to the law s=13.8t-4.9t^(2) where s is in metres and t is in seconds. (i) Find the acceleration at t = 1 (ii) Find velocity at t = 1 (iii) Find the maximum height reached by the ball?

PREMIERS PUBLISHERS-APPLICATIONS OF DIFFERENTIAL CALCULUS-Problems For Practice (Answer the following question)
  1. A missile fixed from ground level raises x metres vertically upwards ...

    Text Solution

    |

  2. A missile fixed from ground level raises x metres vertically upwards ...

    Text Solution

    |

  3. A missile fixed from ground level raises x metres vertically upwards ...

    Text Solution

    |

  4. A missile fixed from ground level raises x metres vertically upwards ...

    Text Solution

    |

  5. A water tank has the shape of an invertd circular cone with base radiu...

    Text Solution

    |

  6. At a particular instant ship A is 100 km west of ship B, ship A is sai...

    Text Solution

    |

  7. A particle is fired straight up from the ground to each a height of x ...

    Text Solution

    |

  8. Find the equation of tangent and normal to the curve y = x^(2) + 3x + ...

    Text Solution

    |

  9. For what value of x the tangent of the curve y = x^(3) - 3x^(2) + 2x -...

    Text Solution

    |

  10. Find the angle between the curves, (x^(2))/(8) + (y^(2))/(2) = 1 and (...

    Text Solution

    |

  11. Find the equation of the tangent to the curve x^(2) + y^(2) = 5^(2) wh...

    Text Solution

    |

  12. Find the equation of normal to y = x^(3) -3x that is parallel to 2x + ...

    Text Solution

    |

  13. Verify Rolle's theorem for f(x) = sqrt(1 -x^(2)), -1 le x le 1

    Text Solution

    |

  14. Using Rolle's theorem find the point on the curve y=x^(2)+1,-2lexle2 w...

    Text Solution

    |

  15. Verify mean value theorem for the function f(x) = x^(3) - 5x^(2) 2x i...

    Text Solution

    |

  16. Expand f(x) = e^(3x) on a maclaurin's series

    Text Solution

    |

  17. Evaluate: underset(x rarr 2)(lim) (sin pi x)/(2 -x)

    Text Solution

    |

  18. Evaluate: underset(x rarr oo)(lim) (x^((1)/(2)) -2 tan^(-1) ((1)/(x)))...

    Text Solution

    |

  19. Evaluate: underset(x rarr 0)(lim) x^(sin x)

    Text Solution

    |

  20. Prove , using mean value theorem, that |sin alpha -sin beta | le| alph...

    Text Solution

    |