Question

Applications of linear differential equations harmonic motion

Answer 1

ities used to describe the motion of an object are position ( s), velocity ( v), and acceleration ( a). Since velocity is the time derivative of the position, and acceleration is the time derivative of the velocity, acceleration is the second time derivative of the position. Therefore, the position function s( t) for a moving object can be determined by writing Newton's Second Law, F net = ma, in the form






and solving this second‐order differential equation for s.