A long straight horizontal bar vibrates in a ver

Question

tical direction with a frequency of 1.50 Hz on the
surface of a large
tank of water. The vibrations of the bar cause plan
e waves to travel across the surface of the water.
The waves are
described by the equation






−
λ
π
=
)
(
2
sin
vt
x
A
y
where
t
is the time and
x
is the distance from the bar. The velocity
of the waves is 12.00 cm/s and the wave amplitude is 2.00 cm.
(i) An insect (the sort with such a tiny mass that
they can actually walk on the surface of a lake) is
30.0 cm from
the bar. Calculate the vertical displacement of the
insect at the time t = 1.00 s.