Question

The distance x covered by a particle in one dimensional motion varies with time t as x² = at² + 2bt + c. If the acceleration of the particle depends on x as x^–n, where n is an integer, the value of n is __________ . 

Answer 1

vx = at + b

Differentiating w.r.t. x

Multiply both side by v 

Answer 2

x² = at² + 2bt + c

2xv = 2ar + 2b

xv = at + b

v² + ax = a