A Particle Is Executing Simple Harmonic Motion. Its Displacement Is Given By                            Where x is In Cm And t in Seconds. How Long Will The Particle Take To Move From The Position Of Equilibrium To The Position Of Maximum Displacement?

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A particle is executing simple harmonic motion. Its displacement is given by   


where x is in cm and t in seconds. How long will the particle take to move from the position of equilibrium to the position of maximum displacement?


Correct option is

0.5 s


Maximum displacement = amplitude = 5 cm 

At time t = 0, x = 0 (equilibrium position). Hence time t taken by the particle to move from x = 0 to x = 5 cm is given by





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