Home
Class 12
MATHS
The law of rectilinear motion of a body...

The law of rectilinear motion of a body of mass 10kg is given by `s = 2t^2 + 3t + 4`. Then the kinetic energy `frac{1}{2}mv^2` of the body after 5s from the start is ….....

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • Application of dy/dx

    A DAS GUPTA|Exercise Exercise|45 Videos

  • Application of Vectors

    A DAS GUPTA|Exercise Exercise|13 Videos

  • Binomial Theorem for Positive Integrel Index

    A DAS GUPTA|Exercise Exercise|113 Videos

Similar Questions

Explore conceptually related problems

The law of rectilinear motion of a body with a mass of 100 kg is s = 2t^(2) + 3t + 1 . Determine the kinetic energy (mv^(2))/(2) of the body 5s after the start

The displacement of body is given by s = 4 + 2t^4 . The acceleration of the body at the end of 1 s from the start is :

The kinetic energy of a body of mass 3 kg and momentum 2 Ns is

The kinetic energy of a body of mass 2 kg and momentum of 2 Ns is

The kinetic energy of a body of mass 4 kg and momentum 6 N-s will be

What is the kinetic energy of a body of mass 1 kg moving with a speed of 2 m/s ?

Power delivered to a body varies as P=3t^(2) . Find out the chang ein kinetic energy of the body from t=2 to t=4 sec.

A force fo 3000 dyne acts on a body of mass 400g for 10s. Find the kinetic energy of the body after 10s.

A body whose mass is 3kg performs rectilinear motion according to the formula s = 1 + t + t^2 , where s is measured the kinetic energy 1/2 mv^2 and t in second. Determine the kinetic energy 1/2 mv^2 of the body in 5 sec after its start.

A DAS GUPTA-Application of dy/dx-Exercise
  1. A man running along a circular track has the speedof 10 km per hour. A...

    Text Solution

    |

  2. A point is moving along the curve y^(3)=27x. The interval in which the...

    Text Solution

    |

  3. A particle is moving along the parabola y^2 = 12x at the uniform rate ...

    Text Solution

    |

  4. A spherical balloon is being inflated so that itsvolume increases unif...

    Text Solution

    |

  5. The time t of a complete oscillation of a simple pendulum of length l ...

    Text Solution

    |

  6. The time t of a complete oscillation of a simple pendulum of length l ...

    Text Solution

    |

  7. A spherical iceball is melting, such that the radius is decreasing at ...

    Text Solution

    |

  8. Use differentials to obtain a resonable approximation to (8. 01)^(4/3)...

    Text Solution

    |

  9. Let C be the curve y^(3) - 3xy + 2 =0. If H is the set of points on th...

    Text Solution

    |

  10. A spherical rain drop evaporates at a rate proportional to its surf...

    Text Solution

    |

  11. The law of rectilinear motion of a body of mass 10kg is given by s = ...

    Text Solution

    |

  12. The slope of the tangent to the curve r^2 = a^2 cos 2theta, where x = ...

    Text Solution

    |

  13. A balloon is pumped at the rate of 10 cu cm/min. The rate of increase ...

    Text Solution

    |

  14. If the line a x+b y+c=0 is a normal to the curve x y=1, then a >0,b >...

    Text Solution

    |

  15. The angle between the curves y = sinx and y = cosx is

    Text Solution

    |

  16. The point on the ellips 9x^(2) +16y^(2)=400 at which the abscissa and ...

    Text Solution

    |

  17. IF slope of tangent to curve y=x^3 at a point is equal to ordinate of ...

    Text Solution

    |

  18. Find the equations of the tangent and the normal to the curve x=3co...

    Text Solution

    |

  19. Let f(x) be a differentiable function and f(x) > 0 for all x. Prove th...

    Text Solution

    |

  20. Prove that the curve y=e^(|x|) cannot have a unique tangent line at th...

    Text Solution

    |