Asked by Alex

The displacement of a harmonic oscillator is given by y = 8.4 sin(14t), where the units of y are meters and t is measured in seconds. What is its maximum velocity?
Answered by MathMate
y(t) = 8.4 sin(14t) m
v(t)=dy/dx = 8.4*14 cos(14t) m/s
max. v(t) occurs when cos(14t)=1, or
max v(t)=8.4*14=117.6 m/s
Answered by Alex
Thank you!
Answered by MathMate
You're welcome!
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