Home
Class 12
PHYSICS
A particle moves along x-axis. At time t...

A particle moves along x-axis. At time `t = 0`, the particle is at origin and its initial veclocity is along positive x-direction. The plot of its `("speed")^(2)` versus its x-coordinate is as shown in graph.

As the particle moves the acceleration of particle :

A

is always uniform

B

decreases with time

C

increases with time

D

information insufficient

Text Solution

Verified by Experts

The correct Answer is:
A

`(dv^(2))/(dx) = tan 135^(@)`
`2v (dv)/(dx) = -1`
`a = v (dv)/(dx) = -(1)/(2) =` constant.
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A particle moves along x-axis. At time t = 0 , the particle is at origin and its initial veclocity is along positive x-direction. The plot of its ("speed")^(2) versus its x-coordinate is as shown in graph. The time at which velocity of particle is zero.

A particle moves along x-axis. At time t = 0 , the particle is at origin and its initial veclocity is along positive x-direction. The plot of its ("speed")^(2) versus its x-coordinate is as shown in graph. The velocity time graph for th eparticle upto point A is best represented by (assuming velocity as positive in positive x-direction):

Displacement x versus t^(2) graph is shown for a particle. The acceleration of particle is

A particle starts from rest at the origin and moves along the positive x direction. Its acceleration a versus position x graph is shown in the figure. The velocity of the particle at x = 6 m is?

A particle starts from the origin at time t = 0 and moves along the positive x-axis. The graph of velocity with respect to time is shown in figure. What is the position of the particle at time t = 5s ?

A particle is moving along X-axis Its acceleration at time t is proportional to its velocity at that time. The differential equation of the motion of the particle is

Acceleration of a particle moving along the x-axis is defined by the law a=-4x , where a is in m//s^(2) and x is in meters. At the instant t=0 , the particle passes the origin with a velocity of 2 m//s moving in the positive x-direction. (a) Find its velocity v as function of its position coordinates. (b) find its position x as function of time t. (c) Find the maximum distance it can go away from the origin.

A particle moves along x-axis with acceleration a=6(t-1) where t is in second. If the particle is initially at the origin and it moves along positive x-axis with v_(0)=2m//s , find the nature of motion of the particle.

A particle moves along x-axis such that its position veries with time as x=50t-5t^2 . Select the correct alternative (s).

BANSAL-TEST PAPERS-PHYSICS PART (A)
  1. If C ( the velocity of light ) g , ( the acceleration due to gravity),...

    Text Solution

    |

  2. An automobile can accelerate or decelerated at a maximum value of 5m//...

    Text Solution

    |

  3. A particle moves along x-axis. At time t = 0, the particle is at origi...

    Text Solution

    |

  4. A particle moves along x-axis. At time t = 0, the particle is at origi...

    Text Solution

    |

  5. A particle moves along x-axis. At time t = 0, the particle is at origi...

    Text Solution

    |

  6. In the equation x = A sin omegat + Be^(alpha^(2)), x is length and t i...

    Text Solution

    |

  7. Which of th efollowing is/are correct regarding vectors vec(A) = 2hat(...

    Text Solution

    |

  8. A particle has initial velocity 12 m//s. It moves due to a constant fo...

    Text Solution

    |

  9. The displacement (x) of particle depends on time (t) as x = alpha t^...

    Text Solution

    |

  10. The trajectory of a projectile is given by y=x tantheta-(1)/(2)(gx^(2)...

    Text Solution

    |

  11. The trajectory of a projectile is given by y=x tantheta-(1)/(2)(gx^(2)...

    Text Solution

    |

  12. A student tries to raise a chain consisting of three identical links. ...

    Text Solution

    |

  13. A student tries to raise a chain consisting of three identical links. ...

    Text Solution

    |

  14. A boat B is moving in upstream with velocity 3 m//s with respect to gr...

    Text Solution

    |

  15. The displacement x of a particle varies with time according to the rel...

    Text Solution

    |

  16. The figure shows a smooth fixed wedge on which a block of mass m is ke...

    Text Solution

    |

  17. if vec(P) xx vec(R ) = vec(Q) xx vec(R ), then

    Text Solution

    |

  18. A boy in a open trucj throws a ball at 40 m//s at angle 60^(@) form ho...

    Text Solution

    |

  19. If a particle is moving along a straight line and following is the gra...

    Text Solution

    |

  20. In the arrangement shown, the pulleys are massless and frictionless. T...

    Text Solution

    |