A horizontal string tied at both ends is vibrating in its
fundamental mode. The traveling waves have speed v,
frequency f, amplitude A, and wavelength λ.
A) Calculate the maximum transverse velocity of the point
located at x=λ/2.
Express your answer in terms
of v, f, A, λ, and π.
B) Calculate the maximum transverse acceleration of the
point located at x=λ/2. Express your answer in terms
of v, f, A, λ, and π.
C) What is the amplitude of the motion at the point located
at x=λ/2? Express your answer in terms
of v, f, A, λ, and π.
D) How much time does it take the string to go from its
largest upward displacement to its largest downward displacement at
the point located at x=λ/2? Express your answer in terms
of v, f, A, λ, and π.