Home
Class 12
MATHS
If the displacement velocity and acceler...

If the displacement velocity and acceleration of a particle at time t be x,v and f respectively, then which one is true?

A

`f=v^3(d^2t)/(dx^2)`

B

`f=-v^3(d^2t)/(dx^2)`

C

`f=v^2(d^2t)/(dx^2)`

D

`f=-v^2(d^2t)/(dx^2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos
  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise CRITICAL THINKING|129 Videos
  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos
  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

Similar Questions

Explore conceptually related problems

If x, v and a denote the displacement, velocity and acceleration of a particle exceuting simple harmonic motion of time period T , then, which of the following does not change with time. (1) a^(2)T^(2) +4pi^(2)v^(2) (2) (aT)/(x) (3) aT = 2piv (4) (aT)/(v)

If x, v and a denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period T , then, which of the following does not change with time ?

If, at time t, x is the displacement and v the velocity, then acceleration at that time is

If v is the velocity and f is the acceleration of a particle, at time t, such that t=(v^(2))/(2) , then : -(df)/(dt)=

If y, v and a represent displacement velocity and acceleration at any instant for a particle executing SHM, which of the following statements are true?

The displacement x of a particle varies with time t as x=4t^(2)-15t+25 Find the position, velocity and acceleration of the particle at t=0. When will the velocity of the particle become zero? Can we call the motion of the particle as one with uniform acceleration ?

The displacement x of a particle varies as sqrt(x)=t-2 (i) What is the velocity and acceleration of the particle at t=0? (ii) When will the velocity of the particle become zero? (iii) What is the displacement of the particle when its velocity is zero? (iv) Is the motion of the particle uniformly accelerated or not?

For a particle moving along the vertical direction, assume s,v,a and t represent displacement, velocity, acceleration and time respectively. Assume the vertical upward direction as the positive direction.

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-COMPETITIVE THINKING
  1. Displacment x of a particle at time t is given by x=At^(2)+Bt+C, where...

    Text Solution

    |

  2. IF t=v^2/2, then (-(df)/(dt)) is equal to , (where f is acceleration...

    Text Solution

    |

  3. If the displacement velocity and acceleration of a particle at time t ...

    Text Solution

    |

  4. If the law of motion in a straight line is s=(1)/(2)vt, then accelerat...

    Text Solution

    |

  5. The law of motion of a body moving along a straight line is x=1/2vt, x...

    Text Solution

    |

  6. A particle moves so that s=6+48t-t^3. The direction of motion reverses...

    Text Solution

    |

  7. The speed v of a particle moving along a straight line is given by a+b...

    Text Solution

    |

  8. A man of height 1.8 metre is moving away from a lamp post at the rate ...

    Text Solution

    |

  9. A 10cm long rod AB moves with its ends on two mutually perpendicular s...

    Text Solution

    |

  10. A ladder 5 m in length is resting against vertical wall. The bottom of...

    Text Solution

    |

  11. A ladder 20 ft long leans against a vertical wall. The top end slides ...

    Text Solution

    |

  12. The rate of change of surface area of a sphere of radius r when the ra...

    Text Solution

    |

  13. If by dropping a stone in a quiet lake a wave moves in circle at a ...

    Text Solution

    |

  14. The sides of an equilateral triangle are increasing at the rate of ...

    Text Solution

    |

  15. Given two squares of sides x and y such that y=x+x^(2) what is the rat...

    Text Solution

    |

  16. A container is in the shape of an inverted cone. Its height is 6 m and...

    Text Solution

    |

  17. IF the volume of a spherical balloon is increasing at the rate of 900c...

    Text Solution

    |

  18. A spherical balloon is being inflated so that its volume increase unif...

    Text Solution

    |

  19. If the volume of spherical ball is increasing at the rate of 4pi" cc/s...

    Text Solution

    |

  20. A spherical balloon is being inflated at the rate of 35 cc/min. The ra...

    Text Solution

    |