Home
Class 12
MATHS
A car starts from a point P at time t = ...

A car starts from a point P at time t = 0 seconds and stops at point Q. The distance x, in metres, covered by it, in t seconds is given by
`x=t^(2) (2-(t)/(3))`
Find the time taken by it to reach Q and also find distance between P and Q.

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT BANGLISH|Exercise EXERCISE 6.1|18 Videos

  • APPLICATION OF DERIVATIVES

    NCERT BANGLISH|Exercise EXERCISE 6.2|23 Videos

  • APPLICATION OF INTEGRALS

    NCERT BANGLISH|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

The distance covered by a particle in t seconds is given by x=3+8t-4t^(2) . After 1 second its velocity will be

The distance S metres moved by a particle traveling in a straight line in t second is given by S = 45t +11t^2-t^3 . Find the time when the particle comes to rest.

A particle moves in a straight line and its velocity v at time t seconds is given by v=(6t^(2)-2t+3) cm/sec. Find the distance travelled by the particle during the first 5 second after the start.

A particle starts from the origin with a velocity 5 cm/s and moves in a straight line its accelration at time t seconds being (3t^(2)-5t)cm//s^(2) . Find the velocity of the particle and its distance from the origin at the end of 4 seconds.

The distance-time graph of a moving particle is given by x = 4t -6t^(2) . What is the positive maximum speed?

A particle moves in a straight line such that its distance x from a fixed point on it at any time t is given by x=(1)/(4)t^(4)-2t^(3)+4t^(2)-7 Find the time when its velocity is maximum and the time when its acceleration is minimum .

A particle is moving in a straight line and its distance x cm from a fixed point on the line at any time t seconds is given by , x=(1)/(12)t^(4)-(2)/(3)t^(3)+(3)/(2)t^(2)+t+15 . At what time is the velocity minimum ? Also find the minimum velocity.

If the distance from the initial point at a time t is given by x = t - 6t^2 + t^3 : then at what time the acceleration will be zero?

A particle is travelling along a straight line OX. The distance x (in metres) of the particle from O at a time t is given by x=37+27t-t^(3) where t is time in seconds. The distance of the particle from O when it comes to rest is

NCERT BANGLISH-APPLICATION OF DERIVATIVES-EXERCISE 6.6
  1. A car starts from a point P at time t = 0 seconds and stops at point Q...

    Text Solution

    |

  2. Using differentials, find the approximate value of each of the followi...

    Text Solution

    |

  3. Show that the function given by f(x) =(logx)/(x) has maximum at x = e.

    Text Solution

    |

  4. The two equal sides of an isosceles triangle with fixed base b are dec...

    Text Solution

    |

  5. Find the equation of the normal to curve x^(2) = 4y which passes throu...

    Text Solution

    |

  6. Show that the normal at any point θ to the curve x = a costheta + a th...

    Text Solution

    |

  7. Find the intervals in which the function f given by f(x)=(4sinx-2x-xc...

    Text Solution

    |

  8. Find the intervals in which the function f given by f(x) =x^(3) +(1)/(...

    Text Solution

    |

  9. Find the maximum area of an isosceles triangle inscribed in the ellips...

    Text Solution

    |

  10. A tank with rectangular base and rectangular sides, open at the top is...

    Text Solution

    |

  11. The sum of the perimeter of a circle and square is k, where k is some ...

    Text Solution

    |

  12. A window is in the form of a rectangle surmounted by a semicircular...

    Text Solution

    |

  13. A point on the hypotenuse of a triangle is at distance a and b from th...

    Text Solution

    |

  14. Find the points at which the function f given by f (x) = (x-2)^(4)(x+1...

    Text Solution

    |

  15. Find the absolute maximum and minimum values of the function f given b...

    Text Solution

    |

  16. Show that the height of the cylinder of maximum volume that can be ...

    Text Solution

    |

  17. Let f be a function defined on [a, b] such that f ′(x) gt 0, for all x...

    Text Solution

    |

  18. Show that the height of the cylinder of maximum volume that can be ...

    Text Solution

    |

  19. Show that height of the cylinder of greatest volume which can be in...

    Text Solution

    |

  20. A cylindrical tank of radius 10 m is being filled with wheat at the ra...

    Text Solution

    |

  21. The slope of the tangent to the curve x=t^(2)+3t-8,y=2t^(2)-2t-5 at th...

    Text Solution

    |