Question

When a particle perform simple harmonic motion then its A) Velocity continuously change and acceleration remain constant B) Velocity and acceleration change continuously C) Velocity remain constant and acceleration continuously change D) Velocity and acceleration does not change​

Answer 1

When a particle perform simple harmonic motion then its B) Velocity and acceleration change continuously .

Detailed Discussion:

• In case of Simple Harmonic Motion, the force is a function of displacement as follows:

$\boxed{ \bf \: F = - kx}$

• The velocity function with respect to displacement is:

$\boxed{ \bf \: v = \omega \sqrt{ {a}^{2} - {x}^{2} } }$

• Acceleration function with respect to displacement is:

$\boxed{ \bf \: a = - { \omega}^{2} x }$

So, with change in position (i.e. displacement), the velocity and acceleration continuously change.