Question

An object undergoes simple harmonic motion along the x-axis shown above, where x = 0 is the object's equilibrium position. Which of the following graphs best shows the relationship between the object's acceleration a and its displacement x from equilibrium? (Assume positive acceleration to be directed to the right.)

Answer 1

see below

Step-by-step explanation:

Simple harmonic motion is described by a differential equation in which acceleration is proportional to the opposite of displacement. The displacement-acceleration graph looks like a line with negative slope.