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:

Monosaccharides

The simplest form of carbohydrates, consisting of single sugar molecules like glucose and fructose.

Fructose

A simple sugar found in honey and fruits that is sweeter than glucose and often used as a sweetener.

Glucose

A basic form of sugar that serves as a crucial energy source for living beings and is found in numerous carbohydrates.

Glycogen

A multi-branched polysaccharide of glucose that serves as a form of energy storage in animals and fungi.