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Oscillations and Displacement

Equation #1 x=A[cos(2pi(t)/T)

Question #29 If the displacement is represented by equation(1) and T=5 seconds,

A.)How long does it take the object to repeat its motion, i.e, what is the period.
B.)What are the first three times when the object is at x=+A?
C.)What are the first three times when the object is at x=-A?
D.) What are the first three times when the object is at x=0?

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Solution Preview

Please see the attached file.

Note that in the answers left T as a variable. You can substitute any number into it (in your case it should be 5)

We start with the equation for motion:

We shall show that the period of this motion is ...

Solution Summary

This solution contains step-by-step calculations to determine the period of the object as well as time the object reaches the maximum, minimum and zero displacement using trigonometric functions. A diagram for motion is included for further understanding.

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