Consider a wave given by the equation y $=(1\mathrm{.}75$ cm$)$cos$[(80\mathrm{.}0$ rad$/$m$)$x $-(250$ rad$/$s$)$t $+1\mathrm{.}50$

rad$]$ where x and t are measured in meters and seconds respectively.

a$)$ What is the wavelength of the wave in meters?

b$)$ What is the magnitude of this wave's velocity in m$/$s$?$

c$)$ What is the direction of this wave's velocity?

d$)$ What is the maximum transverse speed of a particle in this wave in m$/$s$?$

e$)$ What is the maximum transverse acceleration of a particle in this wave, in m$/$s$2?$

f$)$ What is the transverse speed of a particle located at x $=1\mathrm{.}20$ cm at time t $=5\mathrm{.}00$ s$?$ Give

your answer in m$/$s$.$