Answer to Question #94642 in Classical Mechanics for Aseemyash

Question

if velocity is related to displacement as v=x^2.find the acceleration in terms of displacement.

Answer 1

$v=\dot{x} = x^2\\ a = \ddot{x} = \frac{dv}{dx}\frac{dx}{dt} = 2x\cdot\dot{x} =2x^3$