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# An object is in simple harmonic motion. Its maximum position is 0.5 cm from equilibrium. It...

An object is in simple harmonic motion. Its maximum position is 0.5 cm from equilibrium. It has an angular frequency of ?/2 rad/s.

Initially, ?(0)=(√2)/4 ?? and ?(0)=((√2)/8)? ??/s.

a) Use the values given above to write the function x(t) that describes the object’s position.

b) Write down the function v(t) that describes the object’s velocity.

c) Write down the function a(t) that describes the object’s acceleration.

d) Draw a velocity versus time graph showing two cycles of the motion. Be sure both axes are labeled with numerical values. Explain how you used each of the given values in drawing your graph.

e) Draw an acceleration versus time graph showing two cycles of the motion. Be sure both axes are labeled with numerical values.

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