Can I get one more help please? Thank you!

The velocity of sound in air is given by the equation #v=20sqrt(273+t)# , where #v# is the velocity in meters per second and #t# is the temperature in degrees Celsius. Find the temperature when the velocity is 329 meters per second by graphing the equation. Round the answer to the nearest degree. Show your work

1 Answer
A08
Sep 15, 2017

Per given information the equation governing velocity #v# of sound at #t^@C# is

#v=20(273+t)^(1/2) #

Plotting the equation using inbuilt graphing tool #x#-axis representing temperature and #y#-axis representing velocity in #ms^-1# we get the following graph.

my comp

We are to find temperature at which #v=329ms^-1#.

Expanding the graph at the point of interest as below:

graph{y=20*(273+x)^(1/2) [-2.8, -2, 328, 330]}

We see that #v=329ms^-1# at #t=-2.4^@C#

#t=-2^@C#, rounded to nearest degree.

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