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

A stone projected vertically upward moves according to the law `s=100t-16t^2`. The acceleration at `t=2` sec is

A

`-32 unit//sec^2`

B

`32 unit//sec^2`

C

`16 unit//sec^2`

D

`8 unit//sec^2`

Text Solution

Verified by Experts

The correct Answer is:
A
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

A stone projected vertically upward moves according to the law s = 100t-16t^2 . The maximum height reached 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 moves according to law s=t^3-3t^2+3t+12 . The velocity when the acceleration is zero is

A particle is moving along a line according to the law s=t^3-3t^2+5 . The acceleration of the particle at the instant where the velocity is zero 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

A particle moves along a line according to the law s=t^4-5t^2+8 . The intial velocity is

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 =

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1C (RATE OF CHANGE)
  1. The distance travelled by a particle in time t is gicen by s=t^3-2t^2-...

    Text Solution

    |

  2. A particle is projected vertically upward. Its height 'h' at time 't' ...

    Text Solution

    |

  3. A stone projected vertically upward moves according to the law s=100t-...

    Text Solution

    |

  4. A particle moves along a line according to the law s=t^4-5t^2+8. The i...

    Text Solution

    |

  5. The distance moved by the particle in time t is given bys=t^3-12t^2+6...

    Text Solution

    |

  6. A particle moves along a line according to the law s=4t^3-3t^2+2. At w...

    Text Solution

    |

  7. The distance form a fixed point O of a particle pmoving in a straight ...

    Text Solution

    |

  8. the distance s covered in time t by a particle moving along a straight...

    Text Solution

    |

  9. The velocity v and the distance s travelled by a particle has the rela...

    Text Solution

    |

  10. The velocity v of a point moving along a line when it is at a distance...

    Text Solution

    |

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

    Text Solution

    |

  12. For particle moving in a striaght line it is observed that tha distanc...

    Text Solution

    |

  13. A particle is moving along a straight line according to the law s=16+4...

    Text Solution

    |

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

    Text Solution

    |

  15. A particle is moving along a line according to the law s=t^3-3t^2+5. T...

    Text Solution

    |

  16. A particle is moving in a straight line with the relation between the ...

    Text Solution

    |

  17. The distance s feet travelled by a particle in time t seconds is given...

    Text Solution

    |

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

    Text Solution

    |

  19. A stone thrown upwards, has its equation of motion s=490t-4.9t^2. The ...

    Text Solution

    |

  20. A stone is projected vertically upwards with an intial velocity 112 ft...

    Text Solution

    |