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.

Text Solution

Verified by Experts

The correct Answer is:
`(32)/(3)m`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|10 Videos
  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise COMPLETITION FILE (Questions from JEE Main)|18 Videos
  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise Exercise|15 Videos
  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

The distance s metres covered by a boy in t second, is given by s=3t^(2)-8t+5 . The boy will stop after

A car starts from rest and moves with constant acceleration. In first t seconds it covers distance x. Then distance covered by it in next t seconds will be:-

the distance s meters travelled in time t second by a car is given by the relation s=3t^(2) then find the velocity of the car at time ^(~ )t=4 seconds.

He distance f(t) in metres ived by aparticle travelling in a straight line in t second is given by f(t)=t^(2)+3t+4. Find the speed of the particle at the end of 2seconds.

A particle starts at the origin and moves out along the positive x-axis for a while then stops and moves back towards the origin. The distance of the particle from the origin at the end of t seconds is given by x(t)=2t^3-9t^2+12t Find (i) the time t_1, when particle stops for the first time. (i)acceleration at time t_2 when the particle stops for the seconds time

A particle is moving in a straight line such that the distance covered by it in t seconds from a point is ((t^(3))/(3)-t) cm. find its speed at t=3 seconds.

A point mives in a straight line so its displacement x mertre at time t second is given by x^(2)=1+t^(2) . Its aceleration in ms^(-2) at time t second is .

A particle moves according to the law, x=acos(pit//2). . What is the distance covered by it in time interval t=0 to t=3 second.

Two cars P and Q start from a point at the same time in a straight line and their position are represented by x_p(t) = at + bt^2 and x_Q (t) = ft - t^2 . At what time do the cars have the same velocity ?

MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-Revision Exercise
  1. A car starts from a point P at time t = 0 seconds and stops at point ...

    Text Solution

    |

  2. A water tank has the shape of an inverted righ circular cone with its ...

    Text Solution

    |

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

    Text Solution

    |

  4. The bottom of a rectangular swimming tank is 25 m by 40m. Water is pum...

    Text Solution

    |

  5. A ladder 13m long leans against a wall. The foot of the ladder is p...

    Text Solution

    |

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

    Text Solution

    |

  7. A kit is 120m high and 130 m of string is out. If the kite is movin...

    Text Solution

    |

  8. f(x)=tan^(-1)(sinx+cosx), x gt0 is always and increasing function on t...

    Text Solution

    |

  9. The equation of tangents to the curve y=cos(x+y), -2pi le x le 2pi tha...

    Text Solution

    |

  10. Find the angle between the parabolas y^2=4a x and x^2=4b y at their...

    Text Solution

    |

  11. Tangents are drawn from the origin to the curve y = sin x. Prove that ...

    Text Solution

    |

  12. Show that the line d/a+y/b=1 touches the curve y=b e^(-x/a) at the poi...

    Text Solution

    |

  13. If the straight line xcosalpha+ysinalpha=p touches the curve (x^2)/(a^...

    Text Solution

    |

  14. if the straight line xcosalpha+y sin alpha=p touches the curve x^my^n=...

    Text Solution

    |

  15. Find the point on the curve y=3x^2-9x+8 at which the tangents are equa...

    Text Solution

    |

  16. The equation of the tangent at (2,3) on the curve y^2=a x^3+b is y=4x-...

    Text Solution

    |

  17. A circular disc of radius 3 cm is being heated. Due to expansion, i...

    Text Solution

    |

  18. The radius of a sphere shrinks from 10 to 9.8 cm. Find approximatel...

    Text Solution

    |

  19. If the error committed in measuring the radius of a circle is 0.01%, f...

    Text Solution

    |

  20. If a triangle ABC, inscribed in a fixed circle, be slightly varied in ...

    Text Solution

    |