Block tied to a spring | Position, Velocity and Acceleration

Problem W2Q11.3 The vertical motion of mass A is defined by the relation, x = 10sin(2t) + 15cos(2t) + 100 where x and t are expressed in mm and seconds, respectively. Determine (a) the position, velocity and acceleration of A when t=1s, (b) the maximum velocity and acceleration of A. Answer: a) x = 102.85mm v = -36.6 mm/s a = -11.4 mm/s² b) Vmax = 36.1 mm/s² a max = 72.11 mm/s²