Question

Which equation can be used to model simple harmonic motion?

A. d = asin(wt)+k
B. d = acos[w(t+k)]
C. d = sin(awt)
D. d = asin(wt)

Answer 1

The equation that can be used to model simple harmonic motion is d = asin(wt)+k (Option A).

Step-by-step explanation:

The equation that can be used to model simple harmonic motion is d = asin(wt)+k (Option A).

This equation represents a sinusoidal wave with an angular frequency w. In this equation, d represents the displacement, a represents the amplitude, wt represents the angular velocity, and k represents the phase constant.

For example, if you have a mass on a spring undergoing simple harmonic motion, the displacement of the mass at any given time can be represented by this equation.