Answer:
Your displacement is 15.62m NW
Explanation:
We can use the Phytagorean theorem to determine the displacement:
a^2+b^2=c^2
12^2+10^2=c^2
144+100=c^2
244=c^2
15.62=c
So your displacement is 15.62m NW
Explanation:
A wave on a string is described is given by :
![D(x,t)=2\ cm\ sin[(12.57\ rad/m)-(638\ rad/s)t]](https://tex.z-dn.net/?f=D%28x%2Ct%29%3D2%5C%20cm%5C%20sin%5B%2812.57%5C%20rad%2Fm%29-%28638%5C%20rad%2Fs%29t%5D)
The linear density of the string is 5 g/m.
Where
x is in meters and t is in seconds
The general equation of a wave is given by :
(2) The speed of the wave in terms of tension is given by :

Also, 
So, 


T = 12.88 N
(3) The maximum displacement of a point on the string is equal to the amplitude of the wave. So, the maximum displacement is 2 cm.
(4) The maximum speed of a point on the string is given by :


v = 12.76 m/s
Hence, this is the required solution.
Answer:
about 343 metres per second