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 the distance between P and Q.

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    SUBHASH PUBLICATION|Exercise THREE MARKS QUESTIONS WITH ANSWERS (A) DECREASING AND INCREASING FUNCTIONS|23 Videos

  • APPLICATION OF DERIVATIVES

    SUBHASH PUBLICATION|Exercise THREE MARKS QUESTIONS WITH ANSWERS (B) TANGENTS AND NORMALS|26 Videos

  • ANNUAL EXAMINATION QUESTION PAPER MARCH 2017

    SUBHASH PUBLICATION|Exercise PART-D|9 Videos

  • APPLICATIONS OF INTEGRALS

    SUBHASH PUBLICATION|Exercise TRY YOURSELF|5 Videos

Similar Questions

Explore conceptually related problems

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.

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

If the distance 's' metres traversed by a particle in 1 seconds is given by s=t^(3)-3t^(2) , then the velocity of the particle when the acceleration is zero, in metres/sec. is

The distance s feet travelled by a particle in time t seconds is given by s = t^(3) - 6 t^(2) - 4t - 8 . Its acceleration vanishes at time t =

The distance s feet travelled by a particle in time t second is given by s = t^3 - 6t^2 - 4t -8 . It acceleration vanishes at time t =

A stone is thrown up vertically and the height x feet reached by it in time t seconds is given by x=80t-16t^(2) . The stone reaches the maximum height in time (seconds)

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

A particle moves along a straight line OX. At a time (in second) the distance x (in metre) of the particle from "O' is given by : x=40+12t-t^(3) How long particle travels before coming to rest ?

A stone is thrown vertically upwards and the height x ft, reached by the stone in t seconds is given by x=80t-16t^(2) . The stone reaches the maximum height in

If P(-1,2) and Q(3,-7) are two points, express the vector PQ in terms of unit vectors hati and hatj also, find distance between point P and Q .