A particle moves in the plane with velocity vector v(t)=⟨f(t),g(t)⟩. At time t=1 the particle is located at r(1)=⟨3,5⟩. Which of the following expressions gives the particle’s y–coordinate at time t=4?
a) 5+∫14∣g(t)∣dt
b) 5+∫14g(t)dt
c) 3+∫14g(t)dt
d) 5+∫04g(t)dt