A particle’s acceleration is related to its position by

PHYSICS · Subjective · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

a=-4x

, where

x

is measured in meters and

a

in m/s

^2

. At the instant when

x=5\text{ m}

the particle is momentarily at rest. Derive an expression for the particle’s speed

v

as a function of position

x