Question 1
The description of a certain wave is given by the equation
\[
y(x, t)=A \cos (\omega t) e^{-k x}
\]
where
\[
A=4,00 \mathrm{~cm}, k=0.35 \mathrm{~cm}^{-1}, \omega=3 \mathrm{rad} / \mathrm{s}
\]
NOTE: Answer in TwO decimal places, then use \( \pi=3.14 \).
Complete the following:
a) wave amplitude \( A=\underline{\text { Blank } 1 \mathrm{~cm}} \)
b) wavelength \( \lambda= \) Blank 2 cm
c) frequency \( f=\underline{\text { Blank } 3} \mathrm{~Hz} \)
d) period \( T= \) Blank 4 S
f) If \( x=5 \mathrm{~cm} \) and \( t=0.09 \mathrm{~s}, y(x, t)= \) Blank 6 cm
g) With the same parameter in \( f, v(x, t)= \) Blank \( 7 \mathrm{~cm} / \mathrm{s} \)
h) With the same parameters in g), \( a(x, t)= \) Blank \( 8 \mathrm{~cm} / \mathrm{s}^{2} \)
i) Based on your answers in \( h \) ) and i), is the particle "speeding up" or "slowing down" along the \( y \)-direction? Blank 9 (choose between the quoted words)
Blank 1 Add your answer
Blank 2 Add your answer
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