A small earthquake starts a lamppost vibrating back and forth. The amplitude of the vibration of the top of the lamppost is $7\mathrm{.}0$ cmcm at the moment the quake stops, and $8\mathrm{.}4$ ss later it is $1\mathrm{.}2$ cmcm $.$

Part A

What is the time constant for the damping of the oscillation?

Express your answer with the appropriate units.

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Part B

What was the amplitude of the oscillation $4\mathrm{.}2$ ss after the quake stopped?