Transverse waves on a string have wave speed 8.00 m/s, amplitude 0.0550 m, and w

Question

Transverse waves on a string have wave speed 8.00 m/s, amplitude 0.0550 m, and wavelength 0.330 m. The waves travel in the -x-direction, and at t = 0 the x = 0 end of the string has its maximum upward displacement

(c) Find the transverse displacement of a particle at x = 0.360 m at time t = 0.150 s.
(d) How much time must elapse from the instant in part (c) until the particle at x = 0.360 m next has maximum upward displacement?
Please help me to solve the c question in details. I got the negative number after I pugged into the equation y(x,t)=0.0550cos(19x+ 152.24t)

Explanation / Answer

amplitude A = 0.055 m

wavelength lambda = 0.33 m

y = A*(coskx+wt)

k = 2pi/lambda = 19.0

w = vk = 152.

y = 0.055*cos(19.0x + 152 t )

(c)

y = 0.05*cos((19.0*0.36)+(152*0.15))

y = -0.0102 m

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