Final answer:
The equation of motion for the given mass-damper-spring system is mx'' + bx' + kx = 100f(t). To find the position, velocity, and acceleration of the mass at t = 3.00 s, we need to solve the equation of motion.
Step-by-step explanation:
Equation of Motion:
The equation of motion for the given mass-damper-spring system is mx'' + bx' + kx = 100f(t), where m = 1 kg, b = 10 Ns/m, and k = 100 N/m.
Position, Velocity, and Acceleration at t = 3.00 s:
To find the position, velocity, and acceleration of the mass at t = 3.00 s, we need to solve the equation of motion.
The solution will depend on the form of the input function f(t).
The detailed solution depends on the specific form of f(t) and cannot be determined with the given information.
Please provide the input function f(t) in order to proceed with finding the position, velocity, and acceleration.