A transverse wave travels down a long string. The vertical displacement of the string at position, x, and time, t is given by: y(x,z) = 0.065 sin (8.00 x + 128 t) where t is in seconds and y, x, and the amplitude are all in meters. a. What is the amplitude of the wave? b. What is its wavelength? c. What is its period? d. What is the wave speed and in which direction is it traveling? e. What is the maximum transverse speed of a particle on the string? Some useful numbers and constants: Gas constant. R = 8.31 J/mol.K Boltzmann's constant: k = 1.38 x 10-23 J/K Avogadro's number = 6.02 x 10- atoms/mole gravity: g = 9.80 m/s2 Cwater = 4190 J/(kg K) = 1.00 cal/(g 'c) Cice = 2220 J/(kg K) = 0.530 cal/(g 'c) Ccopper = 386 J/(kg K) Li,water = 333 x 10# J/kg = 80 cal/g Lv,water = 2260 x 103 J/kg = 539 cal/g Patm = 1.01 x 105 Pa Pair = 1.21 kg/m3 Pfreshwater = 1000 kg/m3 Pseawater = 1025 kg/m3 For sound: Vair = 343 m/s