Question

The waves near the deep end of the wave pool in the chapter photo have amplitude of 0.50
m. For the 0.40-Hz waves. What is the maximum vertical speed of a swimmer floating on the surface?
What is the maximum vertical acceleration experienced by that swimmer?

Answer 1

$\rvert v_{max}\rvert=A\cdot \omega=A\cdot2\pi\nu=0.5\cdot 2\cdot3.14\cdot0.4=1.26$ $m/s$

$\rvert a_{max}\rvert=A\cdot \omega^2=A\cdot(2\pi\nu)^2=0.5\cdot (2\cdot3.14\cdot0.4)^2=0.03$ $m/s^2$