A particle travels along the -axis so that its acceleration depends on position…

PHYSICS · Subjective · ISC · Physics · Kinematics · Kinematics

Problem

A particle travels along the

x

-axis so that its acceleration depends on position according to

a(x)=-0.5x\,\text{m/s}^2

. At

x=4\,\text{m}

the particle’s speed is

3\,\text{m/s}

. Determine its speed (in m/s) when it reaches

x=0\,\text{m}