1) a)
"f=\\frac{12\\pi}{2\\pi}=6\\ Hz"
"k=\\frac{3\\pi}{2\\pi}=1.5\\ m^{-1}"
So,
"v=\\lambda f=6\\frac{2}{3}=4\\frac{m}{s}"
To find the direction of propogation of the wave, just look at the sign between the x and t terms in the equation. In our case we have a minus sign. A negative sign means the wave is traveling in the +x direction.
"a_t=(12\\pi)^2(20) =28424\\frac{m}{s^2}"
b)
c)
2) a) Yes.
b) No.
c)No.
d) No.
e) No.
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