A wave on a string is described by y(x, t) = 15.0 sin(πx/8 - 4πt), where x and y are in centimeters and t is in seconds.

a) What is the transverse speed for a point on the string at x = 6.00 cm when t = 0.250 s?

b) What is the maximum transverse speed of any point on the string?

c) What is the magnitude of the transverse acceleration for a point on the string at x = 6.00 cm when t = 0.250 s?

d) What is the magnitude of the maximum transverse acceleration for any point on the string?