The Position of a Particle Moving Along the X-Axis Is $x = 0.08 \sin ( 12 t + 0.3 )$

question 219

Essay

The position of a particle moving along the x-axis is given by $x = 0.08 \sin ( 12 t + 0.3 )$ meters, where t is measured in seconds.(a) Determine the position, velocity, and acceleration of the particle when t = 0.65.(b) Show that the acceleration of the particle is proportional to its position, but in the opposite direction.

---

Definitions:

Academic Settings

Environments related to educational institutions like schools or universities, where learning, teaching, and research activities occur.

Business Settings

The environments or contexts within which commercial operations or professional interactions occur.

Informational Reports

Documents that provide facts and analysis without any recommendations; often used to update or inform on a situation.

Analytical Reports

Detailed documents that focus on the examination and interpretation of information or data to draw conclusions, identify trends, or solve problems.