Home
Class 11
PHYSICS
The displacement of a body is proportico...

The displacement of a body is proporticonal to the cube of time elapsed. What is the nature of the acceleration of the body ?

A

increasing with time

B

decreasing with time

C

constant but not zero

D

zero

Text Solution

Verified by Experts

The correct Answer is:
A
As `x propto t^(3)`
Velocity, `v propto 3t^(2)`
Acceleration, `a propto 6t`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A STRAIGHT LINE

    NCERT FINGERTIPS|Exercise Kinematic Equations For Uniformly Accelerated Motion|32 Videos

  • MOTION IN A STRAIGHT LINE

    NCERT FINGERTIPS|Exercise Relative Velocity|18 Videos

  • MOTION IN A STRAIGHT LINE

    NCERT FINGERTIPS|Exercise Instantaneous Velocity And Speed|16 Videos

  • MOTION IN A PLANE

    NCERT FINGERTIPS|Exercise Assertion And Reason|15 Videos

  • OSCILLATIONS

    NCERT FINGERTIPS|Exercise Assertion And Reason|15 Videos

Similar Questions

Explore conceptually related problems

The displacement of a body is gives to be proporticonal to the cube of time elapsed. What is the nature of the acceleration of the body ?

The displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of the body is

The displacement of a particle is proportional to the cube of time. Then magnitude of its acceleration

If the displacement-time graph of a body is a straight line parallel to the time axis, what is the nature of motion of the body?

The position of a particle moving on a straight line is proportional to the cube of the time elapsed. How does the acceleration of the particle depend on time elapsed?

The distance covered by a moving body is directly proportional to the square to the time. The acceleration of the body is

Read the given statements and select the correct option. Statement 1: When the displacement of a body is directly proportional to the square of the time, then the body is moving with uniform acceleration. Statement 2 : The slope of velocity-time graph with time axis gives acceleration.

The velocity v and displacement r of a body are related as v^(2) =kr , where k is a constant. The acceleration of the body is

NCERT FINGERTIPS-MOTION IN A STRAIGHT LINE-Acceleration
  1. The displacement of a body is proporticonal to the cube of time elapse...

    Text Solution

    |

  2. Match Column I with Column II.

    Text Solution

    |

  3. The slope of the tangent at a point on the curve of concentration of a...

    Text Solution

    |

  4. The area under acceleration-time graph gives

    Text Solution

    |

  5. Which of the following statements is not correct regarding the motion ...

    Text Solution

    |

  6. Match the Column I with Column II.

    Text Solution

    |

  7. A particle moving along a straight line has a velocity v m s^(-1), whe...

    Text Solution

    |

  8. A particle moves rectilinearly. Its displacement x at time t is given ...

    Text Solution

    |

  9. A car starts from rest, attain a velocity of 36 km h^(-1) with an acce...

    Text Solution

    |

  10. A point moves with a uniform acceleration and v1 ,v2, v3 denote the a...

    Text Solution

    |

  11. A particle starts from point A moves along a straight line path with a...

    Text Solution

    |

  12. For the one dimensional motion, described by x=t-sint

    Text Solution

    |

  13. Position-time graph for motion with zero acceleration is

    Text Solution

    |

  14. The velocity -displacement graph of a particle is as shown in the figu...

    Text Solution

    |

  15. The velocity-time graph of a particle in one-dimensional motion is sho...

    Text Solution

    |

  16. Given below are four curves describing variation of velocity with time...

    Text Solution

    |

  17. The speed-time graph of a particle moving along a fixed direction is s...

    Text Solution

    |

  18. The given acceleration-time graph represents which of the following ph...

    Text Solution

    |

  19. The figure shows a particle moving along x - axis subjected to three p...

    Text Solution

    |