7. A particle moves along a line according to the following information about its positions(t), velocity v(t), and acceleration a(t). Find the particle's position function s(t) forgeneral t.(a) v(t) = 1.5t2 + 4t, s(4) = 50(b) a(t) = 3 cost-2 sint, s(0) = 0, v(0) = 4