Please help explain this problem.

4. Suppose an object moves along a line with position SUE) (meters), velocity v(t) (meters per second), and acceleration a(t) (meters per secondz) at time t seconds. In each case, information is given about the motion of the object; find the position function 305). (a) 120:) = 2 sin(t) + 3 cos(t), 3(0) = 7 (b) a(t) = 24t2 + 21: + 10, 12(1) = 5, 3(1) = 3