Question

the displacement (in centimeters) of a particle s moving back and forth along a straight line is given by the equation s

Answer 1

Answer:

In a simple harmonic motion, the displacement is given as $\bold{x = A\sin \omega t}$.

Explanation:

• The motion described here could be just a periodic motion or a simple harmonic motion.
• If it is just a mere periodic motion it would have a different formula for the displacement but if it is a simple harmonic motion with the characteristic equation $\bold{a = -\omega^2 x}$, then its displacement measured from the equilibrium position or the centre could be written as $x = A\sin \omega t$ in which $A,\,\omega,\,t$ represent the amplitude, angular velocity and the time respectively.
• The distances are measured in meters, time in seconds and angular velocity in radians per second in the SI system and since the final answer is requested in centimetres a conversion may be performed appropriately.

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