<span>The answer is, 7.44 kg*m/s</span>
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Since v = dx/dt = 200t
I took the integral of dx = integral of 200t dt
and I got x = 100t^2 + C
So I plugged in 0.5 as t and got x = 25
So x = 25 miles
How dense the medium is in the compression part of the wave and how rare the medium is in the rarefaction part of the wave is a measure of the longitudinal wave's amplitude.