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

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.