Home
Class 12
PHYSICS
A particle moves along the x-axis such t...

A particle moves along the x-axis such that its co-ordinate (x) varies with time (t), according to the expression :`x=2-5t+6t^(2), where x is in metres and t is in seconds. The initial velocity of the particle is :-

A

`-5 m//s`

B

`-3 m//s`

C

`6 m//s`

D

`2 m//s`

Text Solution

Verified by Experts

The correct Answer is:
A
`x=2-5 t +6t^(2)`
`v=-5+12t" " (v-(dx)/(dt))`
`t_(t=0) =-5 m//s `
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A particle moves along X-axis in such a way that its coordinate X varies with time t according to the equation x = (2-5t +6t^(2))m . The initial velocity of the particle is

A particle moves along the X-axis as x=u(t-2s)+a(t-2s)^2 .

The displacement of a particle is given by x = (t-2)^(2) where x is in metre and t in second. The distance covered by the particle in first 4 seconds is

A particle executes SHM according to equation x=10(cm)cos[2pit+(pi)/(2)] , where t is in seconds. The magnitude of the velocity of the particle at t=(1)/(6)s will be :-

The distance x of a particle moving in one dimensions, under the action of a constant force is related to time t by the equation, t=sqrt(x)+3 , where x is in metres and t in seconds. Find the displacement of the particle when its velocity is zero.

A car moves along a straight line whose equation of motion is given by s=12t+3t^(2)-2t^(3) where s is in metres and t is in seconds. The velocity of the car at start will be :-

A particle moving in a straight line has its velocit varying with time according to relation v = t^(2) - 6t +8 (m//s) where t is in seconds. The CORRECT statement(s) about motion of this particle is/are:-

The displacement x of particle moving in one dimension, under the action of a constant force is related to the time t by the equation t = sqrt(x) +3 where x is in meters and t in seconds . Find (i) The displacement of the particle when its velocity is zero , and (ii) The work done by the force in the first 6 seconds .

The displacment of a particle is represented by the following equation : s=3t^(3)+7t^(2)+4t+8 where s is in metre and t in second. The acceleration of the particle at t=1:-

A particle moves in the x-y plane. It x and y coordinates vary with time t according to equations x=t^(2)+2t and y=2t . Possible shape of path followed by the particle is

ALLEN -TEST PAPER 4-PHYSICS
  1. Differentiation of cos (sqrt(x)) with respect to x is

    Text Solution

    |

  2. Given a function y=x^(2)-2sqrt(x). What is rate of change in y with re...

    Text Solution

    |

  3. If y=(x^(2))/((x+1))"then"(dy)/(dx)"is":-

    Text Solution

    |

  4. If y=log(e)x+sinx+e^(x)" then "(dy)/(dx) is

    Text Solution

    |

  5. If y=x^(3)cosx" then "(dy)/(dx)=……………………

    Text Solution

    |

  6. If the velocity of a paraticle moving along x-axis is given as v=(4t^(...

    Text Solution

    |

  7. Value of int(0)^(2)3x^(2)dx+int(0)^(pi//2)sinxdxis

    Text Solution

    |

  8. The value of integral underset(2)overset(4)int(dx)/(x) is :-

    Text Solution

    |

  9. Area bounded by curve y=sinx, whit x-axis, when x varies from 0 to (pi...

    Text Solution

    |

  10. If velocity of a particle is given by v=(2t+3)m//s. Then average veloc...

    Text Solution

    |

  11. Angle of elevation of top of building is 30^(@) from place A and beco...

    Text Solution

    |

  12. If Electric-current 'i' time (t) graph shown in figure. The average cu...

    Text Solution

    |

  13. A man travels one-third part of his total distance with speed v(1) and...

    Text Solution

    |

  14. The relation t=sqrt(x)+3 describes the position of a particle where x ...

    Text Solution

    |

  15. The position x of a particle with respect to time t along x-axis is gi...

    Text Solution

    |

  16. For an object starting from rest with uniform acceleration which of th...

    Text Solution

    |

  17. The slope of the tangent to the curve y=ln(cosx)" at "x=(3pi)/(4)" i...

    Text Solution

    |

  18. A particle moves along the x-axis such that its co-ordinate (x) varies...

    Text Solution

    |

  19. If y=sinx+cosx" then "(d^(2)y)/(dx^(2)) is :-

    Text Solution

    |

  20. If velocity v varies with time t as v=2t^(2), then the plot between v ...

    Text Solution

    |