Home
Class 12
PHYSICS
The velocity function of an object movin...

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.

A

`-0.5m//s^(3)`

B

`-0.5 m//s^(2)`

C

`-2.5m//s^(3)`

D

`-1.5m//s^(2)`

Text Solution

Verified by Experts

`v=At^(2)+BtrArr 3=4A+2B`
`a=2At+BrArr0.5=4A+B`
Now, solve for A
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    BANSAL|Exercise PHYSICS PART (A)|32 Videos

  • TEST PAPERS

    BANSAL|Exercise PHYSICS PART (B)|3 Videos

  • TEST PAPERS

    BANSAL|Exercise PHYSICS PART- C|4 Videos

  • SEMICONDUCTORS

    BANSAL|Exercise CBSE Question|32 Videos

Similar Questions

Explore conceptually related problems

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

The displacement of a particle moving along a straight line is given by s=3t^(3)+2t^(2)-10t. find initial velocity and acceleration of particle.

The displacement of a particle moving in a straight line is given by s=t^(3)-6t^(2)+3t+4 meters.The velocity when acceleration is zero is "

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

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 =

A particle moves in a straight line as s =alpha(t-4)+beta(t-4)^(2) . Find the initial velocity and acceleration.

The distance traversed by a particle moving along a straight line is given by x = 180 t + 50 t^(2) metre. Find the velocity at the end of 4s.

A particle is moving in a straight line. Its displacement at time t is given by s(I n m)=4t^(2)+2t , then its velocity and acceleration at time t=(1)/(2) second are

A particle is moving on a straight line with constant retardation of 1 m//s^(2) . Its initial velocity is 10 m//s .

The distance travelled by an object along a straight line in time t is given by s = 3 -41 + 5t^(2) , the initial velocity of the objectis

BANSAL-TEST PAPERS-PHYSICS
  1. A cylist travelling at 10m/s applies brakes and stops in 25m m. The gr...

    Text Solution

    |

  2. A particle of mass m begins to slide down on a fixed smooth sphere fro...

    Text Solution

    |

  3. The velocity function of an object moving along a straight line is giv...

    Text Solution

    |

  4. A piece of paper (shown in figure-1) is in form of a square. Two corne...

    Text Solution

    |

  5. A 500 kg rocket is set of vertical firing. The relative speed of burnt...

    Text Solution

    |

  6. A mass M=40kg is fixed at the very edge oa a long plank of mass 80kg a...

    Text Solution

    |

  7. A very heavy box is kept on a frictionless incline plane inclined at a...

    Text Solution

    |

  8. Two masses m(1), and m(2) are connected by a string of length L. They ...

    Text Solution

    |

  9. A given object takes m times as much time to slide down a 45^(@) rough...

    Text Solution

    |

  10. In the figure shown two motors P(1) & P(2) fixed on a plank which is h...

    Text Solution

    |

  11. Consider the arrangement shown. The system is released from rest and t...

    Text Solution

    |

  12. A bead of mass m is fitted on a rod and can move on it without frictio...

    Text Solution

    |

  13. A projectile is fired horizontally from an inclined plane (of inclinat...

    Text Solution

    |

  14. Two blocks of mass 2m and m slide down the slope AB having same fricti...

    Text Solution

    |

  15. One end of meter stick is pinned to a table to that stick can rotate f...

    Text Solution

    |

  16. Two paricle A and B initially at rest, move towards each other under m...

    Text Solution

    |

  17. When force F acts on side of hexagonal body for what range of coeffici...

    Text Solution

    |

  18. A ring of radius 1m is in xy-plane with centre at the origin. In each ...

    Text Solution

    |

  19. A uniform cylinder free to turn around a fixed axis has a string wrapp...

    Text Solution

    |

  20. Two objects that are moving an xy-plane on a frictionless floor collid...

    Text Solution

    |