A particle moves along a straight line with velocity meters per second for

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

A particle moves along a straight line with velocity

v(t)=\dfrac{t^{2}}{1+t^{3}}

meters per second for

t\ge 1

, where

t

is measured in seconds. At

t=1

the particle is at position

s=0

. Determine the time

t>1

when the particle’s displacement from

t=1

reaches exactly

2

meters.