Vibrational equations of motion: x(t) = A cos(at + () v(t) = -Aw sin(wt + () a(t) = Aw2 cos(wt + () Use g = 10 m/s/s The following plot shows the velocity of a vibrating object as a function of time: Mass on a Spring - Velocity 40- 20- Velocity (cm/s) -20 Time (s) Use data obtained from the plot to write equations of motion x(t), v(t) and a(t) for this object. Be sure to show explicitly through equations and calculations how parameters for the equations were determined. Please report values as decimals, not as ratios that include pi