Home
Class 12
PHYSICS
If s=2t^(3)+3t^(2)+2t+8 then find time a...

If `s=2t^(3)+3t^(2)+2t+8` then find time at which acceleration is zero.

Text Solution

AI Generated Solution

To find the time at which acceleration is zero for the given function \( s = 2t^3 + 3t^2 + 2t + 8 \), we will follow these steps: ### Step 1: Differentiate the position function to find velocity The position function is given as: \[ s = 2t^3 + 3t^2 + 2t + 8 \] To find the velocity \( v \), we differentiate \( s \) with respect to \( t \): ...
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PALNE

    ALLEN|Exercise EXERCISE-1|99 Videos
  • MOTION IN A PALNE

    ALLEN|Exercise EXERCISE-2|170 Videos
  • MOTION IN A PALNE

    ALLEN|Exercise Integer Type Question|3 Videos
  • KINEMATICS-2D

    ALLEN|Exercise Exercise (O-2)|46 Videos
  • NEWTON'S LAWS OF MOTION & FRICTION

    ALLEN|Exercise EXERCISE (JA)|4 Videos

Similar Questions

Explore conceptually related problems

The distance moved by the particle in time is given by x = t^3-12t^2+6t+8 . At the instant when its acceleration is zero, the velocity is (a) 42 (b) -42 (c) 48 (d) -48

A particle moves along a staight line such that its displacement at any time t is given by s=t^3-6t^2+3t+4m . Find the velocity when the acceleration is 0.

The angular velocity of a particle is given by omega=1.5t-3t^(@)+2 , Find the time when its angular acceleration becomes zero.

For a particle moving in a straight line, the displacement of the particle at time t is given by S=t^(3)-6t^(2) +3t+7 What is the velocity of the particle when its acceleration is zero?

For a particle moving in a straight line, the displacement of the particle at time t is given by S=t^(3)-6t^(2) +3t+7 What is the velocity of the particle when its acceleration is zero?

The distances moved by a particle in time t seconds is given by s=t^(3)-6t^(2)-15t+12 . The velocity of the particle when acceleration becomes zero, is

If a particle moves according to the law s=6t^(2)-(t^(3))/(2) , then the time at which it is momentarily at rest is

A particle's velocity v at time t is given by v=2e^(2t)cos((pit)/3) .the least value of t for which the acceleration becomes zero is

Motion of a particle is given by equation S = (3t^(3) + 7 t^(2) + 14 + t + 8) m, The value of acceleration of the particle at t = 1 sec, is:

The position x of a particle varies with time t according to the relation x=t^3+3t^2+2t . Find the velocity and acceleration as functions of time.

ALLEN-MOTION IN A PALNE-PHY
  1. A particle starts motion from rest and moves along a straight line. It...

    Text Solution

    |

  2. A drunkard walking in a narrow lane takes 5 steps forward and 3 steps ...

    Text Solution

    |

  3. The motion of a body is given by the equation dv//dt=6-3v, where v is ...

    Text Solution

    |

  4. (a) The position of a particle moving along the x-axis depends on the ...

    Text Solution

    |

  5. A particle is moving along x-axis with accelerationa = a(0) (1 – t//T)...

    Text Solution

    |

  6. A train, travelling at 20 kmh^(-1) is approaching a platform. A bird i...

    Text Solution

    |

  7. A train goes from rest to rest between two stations with uniform accel...

    Text Solution

    |

  8. A car starting from rest accelerates at the rate f through a distance ...

    Text Solution

    |

  9. A particle is projected vertically upwards and t second after another ...

    Text Solution

    |

  10. A stone dropped from the top of a tower of height 300 m high splashes...

    Text Solution

    |

  11. A man can swim with a speed of 4 km h^(-1) in still water. He crosse...

    Text Solution

    |

  12. A carrom board (4ftxx4ft ) has the queen at the centre. The queen hit ...

    Text Solution

    |

  13. The position-time (x-t) graphs for two children A and B returning from...

    Text Solution

    |

  14. Two trains A and B of length 400 m each are moving on two parallel tra...

    Text Solution

    |

  15. Two towns A and B are connected by a regular bus service with a bus le...

    Text Solution

    |

  16. On a long horizontally moving belt, a child runs to and fro with a spe...

    Text Solution

    |

  17. If s=2t^(3)+3t^(2)+2t+8 then find time at which acceleration is zero.

    Text Solution

    |

  18. Velocity of a particle varies with time as v=4t. Calculate the displac...

    Text Solution

    |

  19. A particle is thrown vertically upwards from the surface of the earth...

    Text Solution

    |

  20. Two cars start off a race with velocities 2m//s and 4m//s travel in st...

    Text Solution

    |