First slide

Rectilinear Motion

Question

The distance $x$ covered by a particle in one dimensional motion varies with time t as $x^{2} = a t^{2} + 2 b t + c$ . If the acceleration of the particle depends on $x$ as $x^{- n}$ , where n is an integer, the value of n is ______

Difficult

Solution

Let acceleration be $' f'$
Given : $x^{2} = a t^{2} + 2 b t + c$
Differentiating .w.r.t $' t'$
$υ x = a t + b$
Again differentiating w.r.t $' t'$
$υ^{2} + x f = a$
$\Rightarrow f = \frac{a}{x} - {(\frac{a t + b}{x})}^{2} \frac{1}{x}$
After Solving , $f = \frac{a c - b^{2}}{x^{3}}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App