Home
Class 11
PHYSICS
The velocity of a body moving in a strai...

The velocity of a body moving in a straight line is given by `v=(3x^(2)+x)m//s` . Find acceleration at `x=2m`.

Text Solution

Verified by Experts

`v=(3x^(2)+x)`
`(dv)/(dx)=6x+1`
`a=v(dv)/(dx)=(3^(2)+x)(6x+1)`
at `x=2m`
`a=(3xx2^(2)+2)(6xx2+1)=182m//s^(2)`
Promotional Banner

Topper's Solved these Questions

  • UNIT DIMENSION, VECTOR & BASIC MATHS

    BANSAL|Exercise PRACTICE EXERCISE|4 Videos
  • UNIT DIMENSION, VECTOR & BASIC MATHS

    BANSAL|Exercise EXERCISE-1 [SINGLE CORRECT CHOICE TYPE]|20 Videos
  • UNIT DIMENSION, VECTOR & BASIC MATHS

    BANSAL|Exercise Exercise|10 Videos
  • KINETIC THEORY OF GASES

    BANSAL|Exercise Section-B|13 Videos

Similar Questions

Explore conceptually related problems

A partical is moving in a straight line such that ita velocity is given by v=t^(4)+3t^(2)+8 m//s . Find acceleration at time t=1 s .

The initial velocity of a body moving along a straight lines is 7m//s . It has a uniform acceleration of 4 m//s^(2) the distance covered by the body in the 5^(th) second of its motion is-

The velocity function of an object moving along a straight line is given by v(t)=At^(2)+Bt . If at t=2s, the velocity is 3 m/s and acceleration is 0.500 m//s^(2) , find the value of the constant A.

The position of a particle moving in a straight line is given by x=3t^(3)-18t^(2)+36t Here, x is in m and t in second. Then

The velocity v of a body moving along a straight line varies with time t as v=2t^(2)e^(-t) , where v is in m/s and t is in second. The acceleration of body is zero at t =

Velocity of particle moving along x-axis is given as v = ( x^(3) - x^(2) + 2) m // sec. Find the acceleration of particle at x=2 meter.

The velocity-position graph of a particle moving in a straight line along x-axis is given below. Acceleration of particle at x = 2 m is

If the velocity of a particle is given by v=(180-16x)^((1)/(2))(m)/(s) , then its acceleration will be

Velocity (in m/s) of a particle moving in a straight line given by v=(t^(2)-2t_1) . Match Table-1 with Table -2

If the velocity of a body related to displacement x is given by v=sqrt(5000+24x) m/s, then the acceleration of the body is _______ m//s^(2) .

BANSAL-UNIT DIMENSION, VECTOR & BASIC MATHS-Solved Example
  1. Given that vec(A)+vec(B)+vec(C )=vec(0). Out of three vectors, two are...

    Text Solution

    |

  2. If a particle moves 5m in +x- direction. Show the displacement of the ...

    Text Solution

    |

  3. A car travles 6km towards north at an angle of 45^(@) to the east and ...

    Text Solution

    |

  4. A body is moving with uniform speed v on a horizontal circle in anticl...

    Text Solution

    |

  5. The sum of the magnitudes of two forces acting at a point is 18 and th...

    Text Solution

    |

  6. Let vec(a)=2hat(i)+3hat(j)-hat(k) , vec(b)=-hat(i)+3hat(j)+4hat(K). Ev...

    Text Solution

    |

  7. The torque of force vec(F)=-3hat(i)+hat(j)+5hat(k) acting at the point...

    Text Solution

    |

  8. The vectors from origin to the points A and B are vec(a)=3hat(i)-6hat(...

    Text Solution

    |

  9. A bouy is attached to three tugboats by three ropes. The tugboats are ...

    Text Solution

    |

  10. The angle subtended by the moon's diameter at a point on the earth is ...

    Text Solution

    |

  11. Find (dx)/(dt) (derivation of x with respect to t) (i) x=(t^(2)+1)^(...

    Text Solution

    |

  12. Find the derivative of y(x)=x^(3)//(x+1)^(2) with respect to x .

    Text Solution

    |

  13. The velocity of particle is given by v=sqrt(gx) . Find its acceleratio...

    Text Solution

    |

  14. If vec(r)=[ucos theta(hat(i))+u sin theta(hat(j))]t+(1)/(2)g(-hat(j))t...

    Text Solution

    |

  15. Find the value of definite integral:int(0)^(pi) ((pit)/(2)-(t^(2))/(2)...

    Text Solution

    |

  16. The velocity of a body moving in a straight line is given by v=(3x^(2)...

    Text Solution

    |

  17. Find(104)^(1//2)

    Text Solution

    |