A transverse wave on a string is modeled with the wave function y(x,t)=0.10msin(0.15m1x+1.50s1t+0.20)y(x,t)=0.10msin(0.15m1x+1.50s1t+0.20).(a) Find the wave velocity. (b) Find the position in the y-direction, the velocity perpendicular to the motion of the wave, and the acceleration perpendicular to the motion of the wave, of a small segment of the string centered at x=0.40mx=0.40m at time t=5.00s.