Adjacent antinodes of a standing wave on a string are 15.0 cm apart. A particle at an antinode oscillates in simple harmonic motion with amplitude 0.850 cm and period 0.0750 s. The string lies along the +x -axis and is fixed at x=0 .
(1) Find the displacement of a point on the string as a function of position and time.
(2) Find the speed of propagation of a transverse wave in the string.
(3) Find the amplitude at a point 3.0 cm to the right of an antinode.