Home
Class 11
PHYSICS
The position x of a particle varies with...

The position x of a particle varies with time t as x=at^(2)-bt^(3) .The acceleration of the particle will be zero at time t equal to

A

a/b

B

`(2a)/(3b)`

C

`(a)/(3b)`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
C
`x = at^2 - bt^3`
`rArr v = (dx)/(dt) = 2at - 3bt^2`
`rArr a = (dv)/(dt) = 2a - 6bt = 0 rArr t = (a)/(3b)`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN ONE DIMENSION

    ERRORLESS|Exercise NCERT BASED QUESTIONS (RELATIVE MOTION )|18 Videos

  • MOTION IN ONE DIMENSION

    ERRORLESS|Exercise NCERT BASED QUESTIONS (MOTION UNDER GRAVITY )|56 Videos

  • MOTION IN ONE DIMENSION

    ERRORLESS|Exercise NCERT BASED QUESTIONS (UNIFORM MOTION )|24 Videos

  • KINETIC THEORY OF GASES

    ERRORLESS|Exercise ASSERTION AND REASON |16 Videos

  • MOTION IN TWO DIMENSION

    ERRORLESS|Exercise ASSERTION & REASON|19 Videos

Similar Questions

Explore conceptually related problems

The position x of a particle varies with time t as x=at^(2)-bt^(3) . The acceleration at time t of the particle will be equal to zero, where (t) is equal to .

The position x of a particle varies with time t as x=At^(2)-Bt^(3) .the acceleration at time t of the particle will be equal to zero

The position "x" of a particle varies with time (t) as x=At^(2)-Bt^(3)" .the acceleration at time t of the particle will be equal to zero

The position "x" of a particle varies with time "(t)" as "x=at^(2)-bt^(3)". The Acceleration at time t of the particle will be equal to zero, where "t" is equal to

The position x of a body is defined by equation x = Pt^(2)- Q t^(3) . The acceleration of the particle will be zero at time equal to

The position x of a particle varies with time t as x=a t^(2)-b . For what value of t acceleration is zero?

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 ?

If the displacement of a particle varies with time as sqrt x = t+ 3

ERRORLESS-MOTION IN ONE DIMENSION-NCERT BASED QUESTIONS (NON-UNIFORM MOTION )
  1. The velocity of a body depends on time according to the equative v = 2...

    Text Solution

    |

  2. The displacement of a particle is given by y = a + bt + ct^2 - dt^4. T...

    Text Solution

    |

  3. The position x of a particle varies with time t as x=at^(2)-bt^(3) .Th...

    Text Solution

    |

  4. The motion of a particle is described by the equation x = a+bt^(2) whe...

    Text Solution

    |

  5. The motion of a particle is described by the equation at u = at.The di...

    Text Solution

    |

  6. The relation 3t=sqrt(3x)+6 describe the displacement of a particle in ...

    Text Solution

    |

  7. Equation of displacement for any particle is s = 3t^(3) +7t^(2) +14t8m...

    Text Solution

    |

  8. Starting from rest, acceleration of a particle is a = 2 (t-1). The vel...

    Text Solution

    |

  9. A particle moves along X-axis in such a way that its coordinate X vari...

    Text Solution

    |

  10. The position of a particle moving on a straight line is proportional t...

    Text Solution

    |

  11. The displacement of a particle is moving by x = (t - 2)^2 where x is i...

    Text Solution

    |

  12. The motion of a particle along a straight line is described by equatio...

    Text Solution

    |

  13. The distance travelled ‘S’ by an accelerated particle of mass M is giv...

    Text Solution

    |

  14. A body moves in a plane so that the displacements along the x and y ax...

    Text Solution

    |

  15. A particle is projected with velocity V(0)along axis x . The decelera...

    Text Solution

    |

  16. The position of a particle x (in meters) at a time t seconds is given ...

    Text Solution

    |

  17. The relation between time t and displacement x is t = alpha x^2 + beta...

    Text Solution

    |

  18. The displacement x of a particle varies with time t as x = ae^(-alpha ...

    Text Solution

    |

  19. If the velocity of a particle is given by v=(180-16x)^((1)/(2))(m)/(s)...

    Text Solution

    |

  20. A particle move a distance x in time t according to equation x = (t + ...

    Text Solution

    |