Home
Class 12
PHYSICS
If the velocity of a paraticle moving al...

If the velocity of a paraticle moving along x-axis is given as `v=(4t^(2)+3t-1)m//s` then acceleration of the particle at `t=1sec` is :

A

`11 m//sec ^(2)`

B

`8 m//sec ^(2)`

C

`7 m //sec^(2)`

D

`5 m//sec^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A

`v=4t ^(2)+3t-1`
`(dv)/(dt) =ac c^(n) =8t +3`
` a|_(t=1)=8 xx1+3=11m//sec ^(2)`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If the velocity of a particle moving along x-axis is given as v=(3t^(2)-2t) and t=0, x=0 then calculate position of the particle at t=2sec.

Position of particle moving along x-axis is given as x=2+5t+7t^(2) then calculate :

The velocity of a particle moving along x-axis is given as v=x^(2)-5x+4 (in m // s) where x denotes the x-coordinate of the particle in metres. Find the magnitude of acceleration of the particle when the velocity of particle is zero?

The position of a particle moving along a. straight line is given by x = 2 - 5t + t ^(3) The acceleration of the particle at t = 2 sec. is ...... Here x is in meter.

The position of a particle moving along a straight line is given by x =2 - 5t + t ^(3). Find the acceleration of the particle at t =2 s. (x is metere).

Position of a particle moving along x-axis is given by x=2+8t-4t^(2) . The distance travelled by the particle from t=0 to t=2 is:-

The displacement 'x' of a particle moving along a straight line at time t is given by x=a_(0)+a_(1)t+a_(2)t^(2) . The acceleration of the particle is :-

The positon of an object moving along x-axis is given by x(t) = (4.2 t ^(2) + 2.6) m, then find the velocity of particle at t =0s and t =3s, then find the average velocity of particle at t =0 s to t =3s.

V_(x) is the velocity of a particle of a particle moving along the x- axis as shown. If x=2.0m at t=1.0s , what is the position of the particle at t=6.0s ?

The position of a particle moving along x-axis varies eith time t as x=4t-t^(2)+1 . Find the time interval(s) during which the particle is moving along positive x-direction.

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

    |