**Spring-Mass System Analysis**A 1.70 kg mass on a spring has displacement as a function of time given by the equation:\[ x(t) = (7.40 \, \text{cm}) \cos \left( (4.16 \, \text{rad/s}) \, t - 2.42 \, \text{rad} \right) \]For related problem-solving tips and strategies, you may want to view a Video Tutor Solution on Angular frequency, frequency, and period in simple harmonic motion.---### Exercises**Part A:** **Objective:** Find the time for one complete vibration. **Instructions:** Express your answer with the appropriate units. \[ T = \,\_\_\_\_ \, \text{Units} \]**Part B:** **Objective:** Find the force constant of the spring. **Instructions:** Express your answer with the appropriate units. \[ k = \,\_\_\_\_ \, \text{Units} \]**Part C:** **Objective:** Find the maximum speed of the mass. **Instructions:** Express your answer with the appropriate units. \[ v_{\text{max}} = \,\_\_\_\_ \, \text{Units} \]---Each section provides a field for your answer, and you can submit your response to verify its correctness. Use the appropriate buttons for formatting or requesting additional hints.

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