Ellen Says That Whenever the Acceleration Is Directly Proportional to the Displacement

question 11

Multiple Choice

Ellen says that whenever the acceleration is directly proportional to the displacement of an object from its equilibrium position, the motion of the object is simple harmonic motion. Mary says this is true only if the acceleration is opposite in direction to the displacement. Which one, if either, is correct?

• A)Ellen, because ω2 is directly proportional to the constant multiplying the displacement and to the mass.
• B)Ellen, because ω2 is directly proportional to the mass.
• C)Mary, because ω2 is directly proportional to the constant multiplying the displacement and to the mass.
• D)Mary, because ω2 is directly proportional to the mass.
• E)Mary, because the second derivative of an oscillatory function like sin(ωt) or cos(ωt) is always proportional to the negative of the original function.

---

Definitions:

Civically Engaged

Refers to individuals actively participating in the civic life of their community through informed, committed, and constructive actions to address public issues.

Black Nationalism

A political and social movement seeking to promote, develop, and maintain a black race identity and to achieve self-determination and sovereignty for black people.

Malcolm X

An African American Muslim minister, public speaker, and human rights activist who advocated for the rights of blacks, often by any means necessary.

United Negro Improvement Association (UNIA)

A black nationalist fraternal organization founded by Marcus Garvey, aimed at promoting African American economic independence and fostering a sense of African pride.