Home
Class 12
MATHS
If s = t^(3) - 4t^(2) + 7 the velocity w...

If `s = t^(3) - 4t^(2) + 7` the velocity when the acceleration is zero is

A

`(32)/(3)` m/sec

B

`(-16)/(3)` m/sec

C

`(16)/(3)` m/sec

D

`(-32)/(3)` m/sec

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    PREMIERS PUBLISHERS|Exercise Problems For Practice (Answer the following question)|39 Videos
  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    PREMIERS PUBLISHERS|Exercise Solution To Exercise 7.10|20 Videos
  • APPLICATIONS OF INTEGRATION

    PREMIERS PUBLISHERS|Exercise Answer the following questions.|18 Videos

Similar Questions

Explore conceptually related problems

Displacement (y) of the particle is given by: y = 2 t + t ^ { 2 } - 2 t ^ { 3 } . Then, the velocity of the particle when acceleration is zero is

The equation of motion is given by s(t) = 2t^(3) - 6t^(2) + 6 . At what time the velocity and accelerations are zero?

The distance in meters described by a car in time t seconds is given by s = 4t^(3) - 3t^(2) + 6t -1 . Determine the velocity and acceleration when (i) t = 0, (ii) t =2 seconds.

A particle moves so that the distance moved is according to the law s(t)=(t^(3))/(3)-t^(2)+3 . At what time the velocity and acceleration are zero respectively ?

A particle moves so that the distance moved is according to the law s(t)=t^3/3-t^2+3 . At what time the velocity and acceleration are zero respectively?

The displacement of a body is given by x = 2t^(3) - 6t^(2) + 12t + 6 . The acceleration of body is zero at time ti is equal to :

The equation of motion is given by s(t)=2t^3-6t^2+6 At what time, the velocity and accelerations are zero?

The angular displacement theta radians of a fly wheel varies with time t seconds and follow the equation theta = 9t^(2) - 2t^(3) . Determine the angular velocity and acceleration of the fly wheel when time t =1 seconds and (ii) The time when the angular acceleration is zero.

PREMIERS PUBLISHERS-APPLICATIONS OF DIFFERENTIAL CALCULUS-Problems For Practice (Choose the correct answer)
  1. underset(x rarr 0)(lim) (2x)/(tan 2x) is

    Text Solution

    |

  2. underset(x rarr 0)(lim) (a^(x) - b^(x))/(c^(x) - d^(x)) is

    Text Solution

    |

  3. If s = t^(3) - 4t^(2) + 7 the velocity when the acceleration is zero i...

    Text Solution

    |

  4. Which of the following functions is increasing in (0 , oo) ?

    Text Solution

    |

  5. The slope of the tangent to the curve y = 3x^(2) + 4 cos x " at " x = ...

    Text Solution

    |

  6. The stationary point of f(x) = x^((3)/(5)) (4 -x) occurs at x=

    Text Solution

    |

  7. The angle between the curve x^(2) - y^(2) = 8 and (x^(2))/(25) + (y^(2...

    Text Solution

    |

  8. The radius of a cylinder is increasing at the rate of 2 cm/sec and the...

    Text Solution

    |

  9. underset(x rarr oo)(lim) (x^(2))/(e^(x)) is

    Text Solution

    |

  10. f is a differentiable function defined on an interval I with positive ...

    Text Solution

    |

  11. For what values of x the rate of increase of x^(3) - 2x^(2) + 3x + 8 i...

    Text Solution

    |

  12. The least possible perimeter of a rectangule of area 400 m^(2) is

    Text Solution

    |

  13. The equation of the normal to the curve y = x^(3) " at" (1, 1) is

    Text Solution

    |

  14. The equation of the tangent to the curve y = (x^(3))/(5) " at " (-1, -...

    Text Solution

    |

  15. Which of the following is concave down:

    Text Solution

    |

  16. If f(a) = 2, f'(a) = 1, g(a) = -1, g' (a) = 2. Then underset(x rarr a)...

    Text Solution

    |

  17. The velocity v of a particle moving along a straight line when at a di...

    Text Solution

    |

  18. The value of c in Lagrange's mean value theorem for the function f(x) ...

    Text Solution

    |

  19. The function f(x) = x^(2) is decreasing in

    Text Solution

    |

  20. y = -e^(x) is

    Text Solution

    |