Mathematics

Problem

The velocity of a particle is given by

v(t)=t^{2}-4t+3

for

t\ge 1

. If the particle’s position at

t=1

5

, which of the following is the particle’s position function

s(t)

for

t\ge 1

? a)

s(t)=\dfrac13 t^{3}-2t^{2}+3t

s(t)=\dfrac13 t^{3}-2t^{2}+3t-\dfrac{11}{3}

s(t)=\dfrac13 t^{3}-2t^{2}+3t+\dfrac{11}{3}

s(t)=\dfrac13 t^{3}-4t^{2}+3t+\dfrac{17}{3}