<h2>
Answer:50![ms^{-1}](https://tex.z-dn.net/?f=ms%5E%7B-1%7D)
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Explanation:
Let
be the airspeed.
Let
be the cross wind speed.
We know that,ground speed is the vector sum of airspeed and cross wind speed and airspeed is perpendicular to cross wind speed.
If
and
are two perpendicular vectors,the resultant vector has the magnitude ![\sqrt{|v|_{1}^{2}+|v|_{2}^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B%7Cv%7C_%7B1%7D%5E%7B2%7D%2B%7Cv%7C_%7B2%7D%5E%7B2%7D%7D)
Given,
![v_{a}=40ms^{-1}\\v_{c}=30ms^{-1}](https://tex.z-dn.net/?f=v_%7Ba%7D%3D40ms%5E%7B-1%7D%5C%5Cv_%7Bc%7D%3D30ms%5E%7B-1%7D)
So,the ground speed is ![\sqrt{40^{2}+30^{2}}=\sqrt{2500}=50ms^{-1}](https://tex.z-dn.net/?f=%5Csqrt%7B40%5E%7B2%7D%2B30%5E%7B2%7D%7D%3D%5Csqrt%7B2500%7D%3D50ms%5E%7B-1%7D)
I'll just find out the path difference between the waves at the starting point. At infinity, the path difference will be zero because the observer will be infinitely far away from both. As the observer goes farther, the path difference keeps reducing till it reaches zero as the observer reaches infinity.
<span>Path difference at starting point = Distance from lower speaker - Distance from upper speaker = √((3)² + (2.5)²) - 2.5 = 1.405 m </span>
<span>Now to find wavelength. </span>
<span>Speed of sound in air at 20 degrees C = 343 m/s </span>
<span>Wavelength = 343 / 686 = 0.5 m </span>
<span>Destructive interference occurs when path difference = (2n + 1)λ/2 where n is an integer. </span>
<span>Maximum n possible can be found by, </span>
<span>(2n + 1)λ/2 < 1.405 </span>
<span>(2n + 1) < (1.4)(2) / (0.5) </span>
<span>2n < 5.6 - 1 </span>
<span>2n < 4.6 </span>
<span>n < 2.3 </span>
<span>So, we have 3 values of n, 0, 1 and 2. </span>
<span>Path differences are, λ/2, 3λ/2 and 5λ/2 which have values 0.25 m , 0.75 m and 1.25 m </span>
<span>But the question asks for distance from starting point. (sheesh!!) </span>
<span>Lets say the observer walked x distance. </span>
<span>Path difference = √((3)² + (2.5 + x)²) - (2.5 + x) </span>
<span>Equate this expression to the values obtained above to get the different values of x. </span>
Answer:
Constants in C are the fixed values that are used in a program, and its value remains the same during the entire execution of the program.
1. the positioning of the sun
2. equinox
3. summer solstice