devarshi-dt-logo

Question:

If x, v, and a denote the displacement, the velocity, and the acceleration of a particle executing simple harmonic motion of time period T, then which of the following does not change with time?

aTx

aT + 2πv

aTv

a2T2 + 4π2v2

Solution:

aTx = ω² x T x = 4π² T² T/x = 4π² T = constant