Home
Class 12
MATHS
A body moves according to the formula v=...

A body moves according to the formula `v=l+t^2`, where V is the velocity at time t. The acceleration after 3sec will be ( v in `cm//sec`)

A

`24cm//sec^2`

B

`12cm//sec^2`

C

`6cm//sec^2`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos
  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise CRITICAL THINKING|129 Videos
  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos
  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

Similar Questions

Explore conceptually related problems

If S=t^(n) , where n ne 0 , then velocity equal acceleration at time t=3 sec if : n=

Displacement x at time t is x=t-t^(3) . If v is the velocity and a the acceleration at time t, then :v =

If, at time t, x is the displacement and v the velocity, then acceleration at that time is

The law of motion of a particle is S = t^(n) , where n ge 3 .If v is the velocity and a the acceleration at time t, then (aS)/(v^(2))=

A particle moves on a line according to the law s=at^(2)+bt+c . If the displacement after 1 sec is 16 cm, the velocity after 2 sec is 24 cm/sec and acceleration is 8cm//sec^(2) , then

A particle starts moving rectilinearly at time t = 0 such that its velocity v changes with time t according to the equation v = t^2-t , where t is in seconds and v is in m s^(-1) . The time interval for which the particle retrads (i.e., magnitude of velocity decreases)is

If v=(t^(2)-4t+10^(5)) m/s where t is in second. Find acceleration at t=1 sec.

If a particle moves in a circle of radius 4m at speed given by v = 2t where v is in m/s and t in sec at t = 4sec, acceleration of particle will be

A particle starts moving rectillineraly at time t = 0 , such that its velocity 'v' changes with time 't' according to the equation v = t^(2) -t where t is in seconds and v is in m//s . The time interval for which the particle retards is

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-COMPETITIVE THINKING
  1. Let y=e^(x^2) and y=e^(x^2) sin x be two given curves . Then the angle...

    Text Solution

    |

  2. If the curves y^2=6x, 9x^2+by^2=16 intersect each other at right angle...

    Text Solution

    |

  3. A body moves according to the formula v=l+t^2, where V is the velocity...

    Text Solution

    |

  4. A point moves in the straight line during the time t=0 to t=3 accordin...

    Text Solution

    |

  5. A particle moves in a straight line in such a way that its velocity at...

    Text Solution

    |

  6. Displacment x of a particle at time t is given by x=At^(2)+Bt+C, where...

    Text Solution

    |

  7. IF t=v^2/2, then (-(df)/(dt)) is equal to , (where f is acceleration...

    Text Solution

    |

  8. If the displacement velocity and acceleration of a particle at time t ...

    Text Solution

    |

  9. If the law of motion in a straight line is s=(1)/(2)vt, then accelerat...

    Text Solution

    |

  10. The law of motion of a body moving along a straight line is x=1/2vt, x...

    Text Solution

    |

  11. A particle moves so that s=6+48t-t^3. The direction of motion reverses...

    Text Solution

    |

  12. The speed v of a particle moving along a straight line is given by a+b...

    Text Solution

    |

  13. A man of height 1.8 metre is moving away from a lamp post at the rate ...

    Text Solution

    |

  14. A 10cm long rod AB moves with its ends on two mutually perpendicular s...

    Text Solution

    |

  15. A ladder 5 m in length is resting against vertical wall. The bottom of...

    Text Solution

    |

  16. A ladder 20 ft long leans against a vertical wall. The top end slides ...

    Text Solution

    |

  17. The rate of change of surface area of a sphere of radius r when the ra...

    Text Solution

    |

  18. If by dropping a stone in a quiet lake a wave moves in circle at a ...

    Text Solution

    |

  19. The sides of an equilateral triangle are increasing at the rate of ...

    Text Solution

    |

  20. Given two squares of sides x and y such that y=x+x^(2) what is the rat...

    Text Solution

    |