Home
Class 11
PHYSICS
Find the derivative with respect to t, o...

Find the derivative with respect to t, of the function `x=A_(0)+A_(1)t+A_(2)t^(2)` where `A_(0),A_(1)andA_(2)` are constants.

Text Solution

Verified by Experts

Note that here the independent variable is . and the dependent variable is .r..
The required derivative is `(dy)/(dx)=+A_(1)+2A_(2)t`.
he second derivative is `(d^(2)x)/(dt^(2))=2A_(2)`.
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    FULL MARKS|Exercise TEXTUAL QUESTIONS SOLVED (MULTIPLE CHOICE QUESTIONS:)|30 Videos
  • KINEMATICS

    FULL MARKS|Exercise TEXTUAL QUESTIONS SOLVED (SHORT ANSWER QUESTIONS)|30 Videos
  • HEAT AND THERMODYNAMICS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (Numerical Problems)|16 Videos
  • KINETIC THEORY OF GASES

    FULL MARKS|Exercise Addtional Numerical Problems|10 Videos

Similar Questions

Explore conceptually related problems

If the expansion in power of x of the function (1)/(( 1 - ax)(1 - bx)) is a_(0) + a_(1) x + a_(2) x^(2) + a_(3) a^(3) + …, then a_(n) is

If A_(1), A_(2),..,A_(n) are any n events, then

Find the respective terms for the following Aps: (i) a_(1) =2, a_(3) = 26 find a_(2) (ii) a_(2) =13, a_(4) = 3 find a_(1), a_(3) (iii) a_(1) =5, a_(4) = -22 find a_(1),a_(3),a_(4),a_(5)

The activity of a sample of a radioactive material is A_(1) at time t_(1) and A_(2) at time t_(2) , ( t_(2) gt t_(1)) . Its mean life is T. Then ______ .