Given the position function s(t)=4tsin(ωt)+4−2cos(ωt) where t>0 is measured in minutes, find the velocity function v(t).

a. v(t)=4tcos(ωt)

b. v(t)=4tsin(ωt)

c. v(t)=4sin(ωt)+4tcos(ωt)

d. v(t)=4cos(ωt)−2sin(ωt)