Home
Class 12
MATHS
Car starts from a point P at time t = 0 ...

Car starts from a point P at time t = 0 second 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 at 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

  • APPLICATION OF DERIVATIVES

    ARIHANT PUBLICATION|Exercise QUESTION FOR PRACTICE PART - II (VERY SHORT ANSWER TYPE QUESTIONS )|4 Videos

  • APPLICATION OF DERIVATIVES

    ARIHANT PUBLICATION|Exercise QUESTION FOR PRACTICE PART - II (SHORT ANSWER TYPE QUESTIONS)|9 Videos

  • APPLICATION OF DERIVATIVES

    ARIHANT PUBLICATION|Exercise QUESTION FOR PRACTICE PART - I (VERY SHORT ANSWER TYPE QUESTIONS )|4 Videos

  • AREA UNDER PLANE CURVES

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (LONG ANWER TYPE QUESTIONS)|15 Videos

Similar Questions

Explore conceptually related problems

The charge (Q) flowing through a conductor at a given instant of time (t) is given by Q = (2t^2 - 3t) coul. Then the current at time instant t = 2 second in ampere is

A point moves in a straight line so that its displacement x m at time t sec is given by x^2=1+t^2 what is the acceleration in m//sec^2 in time t.

The velocity time relation of an electron starting from rest is given by v=kt where k=2m/s^2 . The distance traversed in 3 second is

Find the slope of the tangent to the curve x = sin 3t, y = cos 2t, at t = pi/4 .