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At which of the following air temperatures will the speed of a sound wave be closest to 1,000 feet per second?

At which of the following air temperatures will the speed of a sound wave be closest to 1000 feet per second class=

Respuesta :

Answer:

B

Explanation:

Plug 1000 in the equation as "a" then solve for T

At "-48 F " the air temperatures be closest to 1,000 feet/sec. A further explanation is below.

According to the question or we know that,

  • a = 1,000 feet/sec

or,

  • [tex]a = 1052+1.08t[/tex]

By substituting the given value, we get

→            [tex]1000= 1052+1.08t[/tex]

By subtracting "1052" from both sides of equation, we get

→ [tex]1000-1052= 1052+1.08t-1052[/tex]

→             [tex]-52 = 1.08t[/tex]

→                  [tex]t = -\frac{52}{1.08}[/tex]

→                     [tex]= -48.15[/tex]

or,

→                     [tex]= -48^{\circ} F[/tex]

Thus the above answer i.e., option B) is the appropriate one.

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