Oscillation related doubt

Question

y=10sin(3t+p/3)m

 

/initial displacement and maximum velocity is ?

 

Show the calculation part

Answer 1

y = 10 sin(3t + π/3) m

 

Initial displacement:

 

y(0) = 10 sin(π/3) m = 10(√3)/2 m

 

Maximum velocity:

 

dy/dt = 30 cos(3t + π/3) m/s

 

(dy/dt)_max = 30 m/s