Home
Class 12
MATHS
A missile is fired from the ground level...

A missile is fired from the ground level rises `x` metres vertically upwards in `t` second, where `x=100 t-25/2t^(2)`. The maximum height reached is

A

`200m`

B

`125m`

C

`160m`

D

`190m`

Text Solution

Verified by Experts

The correct Answer is:
A
Given `x=100t-25/2 t^(2)`
`implies (dx)/(dt)=100-25/2 . (2t)=100-25t`
At maximum height, velocity `(dx)/(dt)=0`
`implies 100-25t=0impliest=4`
At `t=4, x=100xx 4-(25xx16)/2=200m`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET CORNER|21 Videos

  • APPLICATIONS OF DERIVATIVES

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET CORNER|21 Videos

  • APPLICATIONS OF DEFINITE INTEGRALS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|6 Videos

  • BINOMIAL DISTRIBUTION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|6 Videos

Similar Questions

Explore conceptually related problems

A stone thrown vertically upwards rises S ft in t seconds where S =112t-16t ^(2) . The maximum height reached by the stone is

A particle when thrown obliquely from ground, can have a maximum horizontal range 'X'. When it is thrown vertically upwards with the same speed, the maximum height reached by the particle, will be 2 Х 2x √2

A stone is thrown up vertically and the height x ft it reached in t seconds is x=(80)t -(16)t^(2) . It reached the maximum height in time t=

A stone thrown vertically upwards satisfies the equations s = 80t –16t^(2) . The time required to reach the maximum height is

A stone thrown down with a seed u takes a time t_(1) to reach the ground , while another stone, thrown upwards from the same point with the same speed, takes time t_(2) . The maximum height the second stone reaches from the ground is

A stone is projected vertically upwards. Its height h at time t sec is h=(80)t-(16)t^(2) . The velocity with which it hits the ground is

The maximum height is reached is 5s by a stone thrown vertically upwards and moving under the equation 10s=10ut-49t^(2) , where s is in metre and t is in second. The value of u is

A stone, vertically thrown upward is moving in a line. Its equation of motion is s=294t-49t^(2) , then the maximum height that the stone reaches is

A stone thrown upwards from ground level, has its equation of height h=490t-4.9t^(2) where 'h' is in metres and t is in seconds respectively. What is the maximum height reached by it ?

Soumya throws a ball upwards, from a rooftop, 80 m above. It will reach a maximum height and then fall back to the ground. The height of the ball from the ground at time 't' is 'h', which is given by h=-16t^(2)+64t+80 What is the maximum height reached by the ball ?

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-APPLICATIONS OF DERIVATIVES-MISCELLANEOUS PROBLEMS
  1. log(10) (4.04), it being given that log(10) 4 = 0.6021 and log(10) e =...

    Text Solution

    |

  2. The radius of a cylinder is increasing at the rate of 3ms^(-1) and its...

    Text Solution

    |

  3. A missile is fired from the ground level rises x metres vertically upw...

    Text Solution

    |

  4. If the radius of a circle be increasing at a uniform rate of 2cms^(-1)...

    Text Solution

    |

  5. The normal to the curve x=a ( cos theta-thetasintheta), y = a( sinthet...

    Text Solution

    |

  6. If ST and SN are the lengths of the subtangent and the subnormal at th...

    Text Solution

    |

  7. If a and b are positive quantities, (a gt b) find minimum positive val...

    Text Solution

    |

  8. The real number x when added to its inverse given the minimum value of...

    Text Solution

    |

  9. For which interval, the function (x^2-3x)/(x-1) satisfies all the cond...

    Text Solution

    |

  10. The value of c in (0,2) satisfying the Mean Value theorem for the func...

    Text Solution

    |

  11. For what values of x the function f(x)=x^(4)-4x^(3)+4x^(2)+40 is monot...

    Text Solution

    |

  12. If x in (0,pi//2), then the function f(x)= x sin x +cosx +cos^(2)x is

    Text Solution

    |

  13. Let k and K be the minimum and the maximum values of the function f(x)...

    Text Solution

    |

  14. If for a function f(x),f'(a)=0,f' ' (a)=0,f'''(a)gt0, then at x=a,f(x)...

    Text Solution

    |

  15. For the curve xy=c^(2) the subnormal at any point varies as

    Text Solution

    |

  16. If x-2y=4 the minimum value of xy is

    Text Solution

    |

  17. The maximum value of (logx)/xd is

    Text Solution

    |

  18. The sum of two numbers is 6. The minimum value of the sum of their rec...

    Text Solution

    |

  19. If f(x)=2x^(3)-21x^(2)+36x-30, then which one of the following is corr...

    Text Solution

    |

  20. The function x^(5)-5x^(4)+5x^(3)-1 is

    Text Solution

    |