An object moves so that its acceleration satisfies

MATHEMATICS · Subjective · CBSE · Mathematics · Differential Equations · Differential Equations

Problem

a=-0.4v

, where

v

is its velocity in m/s and

a

in m/s

^2

. At

t=0

, the object is at position

s=0\text{ m}

and has velocity

15\text{ m/s}

. Derive an explicit formula for its position

s(t)