Waves on a string are described by the following general equation

y$($x$,$t$)=$Acos$($kx$$t$)$y$($x$,$t$)=$Acos$($kx$$t$).$

A transverse wave on a string is traveling in the $+$xx direction with a wave speed of $8\mathrm{.}50$ m$/$sm$/$s $,$ an amplitude of $6\mathrm{.}50102$ mm $,$ and a wavelength of $0\mathrm{.}450$ mm $.$ At time t$=0$t$=0,$ the x$=0$x$=0$ end of the string has its maximum upward displacement. Find the transverse displacement yy of a particle at xx $=1\mathrm{.}50$ mm and tt $=0\mathrm{.}150$ ss $.$ Find the transverse displacement yy of a particle at xx $=1\mathrm{.}50$ mm at time tt $=0\mathrm{.}150$ ss $.$