Tripling the displacement from equilibrium of an object in simple harmonic motion will bring about a change in the magnitude of the object's acceleration by what factor?

acceleration will be tripled.

Explanation:

We know, when an object is performing Simple harmonic motion, the force

experience by it is directly proportional to its displacement from its mean position.

Also, F = ma , therefore, acceleration is also proportional to its displacement .

Now, F = kx

Therefore,

If we triple the displacement i.e, 3x.

Acceleration

Therefore, acceleration is also tripled.

Hence, this is the required solution.

think its the third option

it is called kinetic energy