A particle is subjected to two simple harmonic motions given by, y1=10 sin ωt, y2= 5 sin ωt+π. The maximum speed of the particle is:
102+52ω
102-52ω
5 ω
15 ω
y=y1+y2=10 sin ωt+5 sin ωt+π =10 sin ωt-5 sin ωt Velocity =dydt=5ω cos ωt⇒maximum speed =5ω