Home
Class 11
MATHS
For a paricle moving on a straight line ...

For a paricle moving on a straight line it is observed that the distance 'S' at time 't' is given by `S=6t-(t^(2))/(2)` , the maximum velocity during the motion is

A

3

B

6

C

9

D

12

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -I) (LEVEL -II) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|16 Videos
  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -I) (LEVEL -II) (MATRIX MATCHING TYPE QUESTIONS |2 Videos
  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -II) (INTEGER TYPE QUESTIONS)|3 Videos
  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos
  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos

Similar Questions

Explore conceptually related problems

For particle moving in a striaght line it is observed that tha distance x at time t is given by x=6t-1/2t^2 . The maximum velocity during the motion is

A particle is moving in a straight line such that its distance at any time 't' is given by s=t^4/4-2t^3+4t^2+7 then its accelertation is minimum at t=

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

A particle moves along a straight line such that its displacement at any time t is given by s= (t^3- 6t^3 +3t+4) metres. The velocity when the acceleration is zero is

A particle is moving in a straight line with the relation between the time and the distance in such a way that s=t^3-9t^2+24t-18 . The value of its velocity when the acceleration is zero is

If the distance S travelled by a particle in time t is given by s = t^(2) - 2t + 5 then its acceleration is

A particle is moving on a straight line so that its distance s from a fixed point at any time t is proportional to t^n . If v be the velocity and 'a' the acceleration at any time , then (nas)/(n-1) equals

AAKASH SERIES-MAXIMA AND MINIMA -PRACTICE SHEET (EXERCISE -I) (LEVEL -I) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. f(x)=|x| is maximum at x=

    Text Solution

    |

  2. The maximum value of f(x)=100-|45-x| is

    Text Solution

    |

  3. For a paricle moving on a straight line it is observed that the distan...

    Text Solution

    |

  4. At x=0, f(x)=sinx-x+(x^(3))/(6)-(x^(4))/(24)

    Text Solution

    |

  5. The minimum value of sqrt((e^x"^2)-1) is

    Text Solution

    |

  6. If f(x) = a log |x| + bx^(2) + x has extreme values at x = -1 and x = ...

    Text Solution

    |

  7. f(x)=x^(3)-3x^(2)+6x+7 has

    Text Solution

    |

  8. If x is real, then the minimum value of y=(x^(2)-x+1)/(x^(2)+x+1) is

    Text Solution

    |

  9. The value of a for which the sum of the squares of the roots ...

    Text Solution

    |

  10. Greatest value of ((1)/(x))^(x) is

    Text Solution

    |

  11. If 2lexle4 then the max value of f(x)=(x-2)^(6)(4-x)^(5) is

    Text Solution

    |

  12. The function f(x)=4x^5-25x^4+40x^3-10 has

    Text Solution

    |

  13. If xy(x-y)=2a^3(agt0) then y has minimum when x =

    Text Solution

    |

  14. Let f(x)=(x-3)^(5)(x+1)^(4) then

    Text Solution

    |

  15. Then function f(x)=int(-2)^(x)t(e^(t)-1)(t-2)^(3)(t-3)^(5)dt has a loc...

    Text Solution

    |

  16. f(x)=(x-2)^(2)x^(n), n inN then f(x) has

    Text Solution

    |

  17. If the function f(x)=x^(3)+3(a-7)x^(2)+3(a^(2)-9)x-1 has a positive p...

    Text Solution

    |

  18. Given : f(x)=x^((1)/(x)),(xgt0) has the maximum value at x=e , then

    Text Solution

    |

  19. Let f(x)=(x-2)(x^(4)-4x^(3)+6x^(2)-4x+1) then value of local minimum ...

    Text Solution

    |

  20. Let f be continuous and differentiable function such that f(x) and f(x...

    Text Solution

    |