Question

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?

Answer 1

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

Answer 2

Thank you!

Answer 3

You're welcome!