Home
Class 12
MATHS
A particle moves on a line according to ...

A particle moves on a line according to the law `s=at^(2)+bt+c`. If the displacement after 1 sec is 16 cm, the velocity after 2 sec is 24 cm/sec and acceleration is `8cm//sec^(2)`, then

A

a=4, b=8, c=4

B

a=4, b=4, c=8

C

a=8, b=4, c=4

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DERIVATIVE AS A RATE MEASURER

    OBJECTIVE RD SHARMA|Exercise Section I - Solved Mcqs|27 Videos

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Chapter Test 2|60 Videos

  • DIFFERENTIAL EQUATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

The equation of motion of particle is S=at^(2) +bt+c .If the displcement after 1 sec is 20 m, velo0city after 2 sec is 30 m/ sec and the acceleration is 10m//se^(2) , then

In the above example, the velocity after 2 sec will be - (in m/sec)

A body moves according to the formula v=l+t^2 , where V is the velocity at time t. The acceleration after 3sec will be ( v in cm//sec )

A particle moves under the law s=t^(3)-4t^(2)-5t. If its acceleration is 4" units/sec"^(2) , then its displacement is

A particle moves under the law s=t^(3)-4t^(2)-5t. If its acceleration is 4" units/sec^(2), then its velocity is

A particle moves in a straight line so that it covers distance at^(3)+bt+5 meter in t seconds. If its acceleration after 4 seconds is 48 " meters/sec"^(2) , then a=

A particle is performing a linear S.H.M. If at time t=0, its displacement is 1 cm, its velocity is pi cm//sec and its angular frequency is pi rad//s , then the amplitude of its motions is

OBJECTIVE RD SHARMA-DERIVATIVE AS A RATE MEASURER -Exercise
  1. If the rate of change of sine of an angle theta is k, then the rate of...

    Text Solution

    |

  2. If a particle moves according to the law s=6t^(2)-(t^(3))/(2), then th...

    Text Solution

    |

  3. A particle moves on a line according to the law s=at^(2)+bt+c. If the ...

    Text Solution

    |

  4. If a particle moving along a line follows the law t=as^(2)+bs+c, then...

    Text Solution

    |

  5. If the semivertical angle of a cone is 45^@. Then the rate of change o...

    Text Solution

    |

  6. On the curve x^3=12 y , find the interval of values of x for which the...

    Text Solution

    |

  7. If the rate of change of area of a square plate is equal to that of th...

    Text Solution

    |

  8. A stone dropped into a quiet lake. If the waves moves in circles at th...

    Text Solution

    |

  9. The side of a square is equal to the diameter of a circle. If the side...

    Text Solution

    |

  10. A variable DeltaABC is inscribed in a circle of diameter x units. At a...

    Text Solution

    |

  11. The radius and height of a cylinder are equal. If the radius of the sp...

    Text Solution

    |

  12. The points on the curve 12y = x^(3) whose ordinate and abscissa change...

    Text Solution

    |

  13. A particle moves along the parabola y^2=2ax in such a way that its pro...

    Text Solution

    |

  14. The diameter of a circle is increasing at the rate of 1 cm/sec. When i...

    Text Solution

    |

  15. A man 2 metres tall walks away from a lamp post 5 metres height at the...

    Text Solution

    |

  16. At an instant the diagonal of a square is increasing at the rate of 0...

    Text Solution

    |

  17. If s=ae^(l) + be^(-t) is the equation of motion of a particle, then it...

    Text Solution

    |

  18. A circular metal plate is heated so that its radius increases at a rat...

    Text Solution

    |

  19. The distances moved by a particle in time t seconds is given by s=t^(3...

    Text Solution

    |

  20. If s=e^(t) (sin t - cos t) is the equation of motion of a moving parti...

    Text Solution

    |