During an earthquake, the top of a building oscillates with an amplitude of 31 {

Question

During an earthquake, the top of a building oscillates with an amplitude of 31 { m cm} at 1.1 { m Hz}.

Part A -
What is the magnitude of the maximum displacement from the equilibrium of the top of the building in cm.
Express your answer in two significant figures.

Part B -
What is the maximum velocity of the top of the building?
Express your answer using two significant figures in cm/s.

Part C -
What is the maximum acceleration of the top of the building? in cm/s^2
Express your answer using two significant figures.

Explanation / Answer

part A: the maximum displacement is nothing butthe amplitude and it is A=31cm partB: maximum velocity v=2*1.1*31                                 =214.25 cm/s Part C: maximum acceleration a=-(2*1.1)2(31)                                       =-1480.83 cm/s2

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